[{"author":[{"id":"106729","first_name":"Sebastian","last_name":"Bischof","full_name":"Bischof, Sebastian"}],"year":"2025","status":"public","title":"On flat groups in affine buildings","date_updated":"2026-01-12T14:32:33Z","language":[{"iso":"eng"}],"_id":"63568","user_id":"106729","citation":{"mla":"Bischof, Sebastian. <i>On Flat Groups in Affine Buildings</i>. 2025.","ama":"Bischof S. On flat groups in affine buildings. Published online 2025.","bibtex":"@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof, Sebastian}, year={2025} }","apa":"Bischof, S. (2025). <i>On flat groups in affine buildings</i>.","ieee":"S. Bischof, “On flat groups in affine buildings.” 2025.","short":"S. Bischof, (2025).","chicago":"Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025."},"abstract":[{"lang":"eng","text":"In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings."}],"date_created":"2026-01-12T14:11:47Z","external_id":{"arxiv":["arXiv:2512.16548"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint"},{"date_created":"2022-12-22T07:49:32Z","type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"Nonlinear Analysis","citation":{"ieee":"H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” <i>Nonlinear Analysis</i>, vol. 252, Art. no. 113690, 2025, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","apa":"Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>, <i>252</i>, Article 113690. <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>","mla":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i>, vol. 252, 113690, 2025, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","bibtex":"@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }","chicago":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i> 252 (2025). <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>.","short":"H. Glöckner, Nonlinear Analysis 252 (2025).","ama":"Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>. 2025;252. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>"},"quality_controlled":"1","abstract":[{"text":"Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent real-analytic vector fields on $M$ which are integrable\r\nfunctions in time, and their dependence on the time-dependent vector field.\r\nNotably, we show that the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups, for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of other classes of groups.\r\nMoreover, we obtain new results concerning the continuity and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex direct\r\nlimits.","lang":"eng"}],"article_number":"113690","_id":"34807","language":[{"iso":"eng"}],"doi":"10.1016/j.na.2024.113690","user_id":"178","volume":252,"title":"Lie groups of real analytic diffeomorphisms are L^1-regular","year":"2025","status":"public","author":[{"id":"178","first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge"}],"date_updated":"2024-12-24T16:58:38Z","intvolume":"       252"},{"article_number":"113555","publisher":"Elsevier BV","_id":"60205","language":[{"iso":"eng"}],"user_id":"23686","doi":"10.1016/j.jde.2025.113555","volume":443,"year":"2025","status":"public","title":"Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system","author":[{"id":"23686","full_name":"Black, Tobias","orcid":"0000-0001-9963-0800","first_name":"Tobias","last_name":"Black"}],"publication_identifier":{"issn":["0022-0396"]},"publication_status":"published","date_updated":"2025-06-13T11:13:22Z","intvolume":"       443","date_created":"2025-06-13T11:12:23Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Journal of Differential Equations","citation":{"ama":"Black T. Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>. 2025;443. doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>","bibtex":"@article{Black_2025, title={Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}, volume={443}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>}, number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }","mla":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i>, vol. 443, 113555, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>.","short":"T. Black, Journal of Differential Equations 443 (2025).","chicago":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i> 443 (2025). <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>.","apa":"Black, T. (2025). Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>, <i>443</i>, Article 113555. <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>","ieee":"T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,” <i>Journal of Differential Equations</i>, vol. 443, Art. no. 113555, 2025, doi: <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>."}},{"abstract":[{"lang":"eng","text":"For negatively curved symmetric spaces it is known that the poles of the\r\nscattering matrices defined via the standard intertwining operators for the\r\nspherical principal representations of the isometry group are either given as\r\npoles of the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."}],"issue":"(4)","publication":"Journal of Lie Theory","department":[{"_id":"548"}],"type":"journal_article","date_created":"2024-04-11T12:31:18Z","article_type":"original","intvolume":"        35","publication_status":"inpress","date_updated":"2026-03-31T09:07:17Z","author":[{"full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin","id":"70575"},{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"}],"publication_identifier":{"issn":["0949-5932"]},"title":"Quantum resonances and scattering poles of classical rank one locally  symmetric spaces","year":"2025","language":[{"iso":"eng"}],"citation":{"mla":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","bibtex":"@article{Delarue_Hilgert, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, volume={35}, number={(4)}, journal={Journal of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804} }","ama":"Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>. 35((4)):787--804.","ieee":"B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","apa":"Delarue, B., &#38; Hilgert, J. (n.d.). Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>, <i>35</i>((4)), 787--804.","chicago":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i> 35, no. (4) (n.d.): 787--804.","short":"B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804."},"status":"public","volume":35,"user_id":"220","_id":"53413","page":"787--804"},{"external_id":{"arxiv":["2403.12147"]},"date_created":"2024-03-20T14:56:05Z","type":"preprint","department":[{"_id":"799"}],"publication":"arXiv:2403.12147","citation":{"chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024.","short":"B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).","apa":"Hinrichs, B., &#38; Matte, O. (2024). Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. In <i>arXiv:2403.12147</i>.","ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains,” <i>arXiv:2403.12147</i>. 2024.","ama":"Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains. <i>arXiv:240312147</i>. Published online 2024.","bibtex":"@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains}, journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups Generated by Multi-Polaron  Hamiltonians in Magnetic Fields and on General Domains.” <i>ArXiv:2403.12147</i>, 2024."},"abstract":[{"lang":"eng","text":"We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics. The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical electrons moving in a polarizable crystal and interacting with the\r\nquantized phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We also include possibly very singular magnetic vector potentials and\r\nelectrostatic potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative functionals and can be applied to every vector\r\nin the underlying Hilbert space. In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac formulas are known, the analysis of the\r\ncreation and annihilation terms in the multiplicative functionals requires\r\nnovel ideas to overcome difficulties caused by the phonon dispersion relation\r\nbeing constant. Getting these terms under control and generalizing other\r\nconstruction steps so as to cover confined systems are the main achievements of\r\nthis article."}],"_id":"52691","language":[{"iso":"eng"}],"user_id":"99427","year":"2024","title":"Feynman-Kac formulas for semigroups generated by multi-polaron  Hamiltonians in magnetic fields and on general domains","status":"public","author":[{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","first_name":"Benjamin","orcid":"0000-0001-9074-1205"},{"last_name":"Matte","first_name":"Oliver","full_name":"Matte, Oliver"}],"date_updated":"2024-03-20T14:56:50Z"},{"external_id":{"arxiv":["2304.09573"]},"date_created":"2024-02-06T21:00:55Z","type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication":"Geom Dedicata","citation":{"short":"T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i> 218 (2024). <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>Geom Dedicata</i>, vol. 218, Art. no. 76, 2024, doi: <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","apa":"Weich, T., &#38; Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>, <i>218</i>, Article 76. <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","bibtex":"@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces: The product case}, volume={218}, DOI={<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>}, number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>. 2024;218. doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i>, vol. 218, 76, 2024, doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>."},"abstract":[{"text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$.","lang":"eng"}],"article_number":"76","language":[{"iso":"eng"}],"_id":"51207","doi":"https://doi.org/10.1007/s10711-024-00904-4","user_id":"45027","volume":218,"title":"Temperedness of locally symmetric spaces: The product case","status":"public","year":"2024","author":[{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919"},{"id":"45027","first_name":"Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045","full_name":"Wolf, Lasse Lennart"}],"date_updated":"2024-05-07T11:44:34Z","intvolume":"       218"},{"publication_identifier":{"isbn":["9783662673560","9783662673577"]},"author":[{"id":"32202","orcid":"0000-0002-6964-7123","first_name":"Max","last_name":"Hoffmann","full_name":"Hoffmann, Max"},{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias","full_name":"Weich, Tobias"}],"year":"2024","title":"Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik","status":"public","publication_status":"published","date_updated":"2024-08-08T08:05:30Z","publisher":"Springer Berlin Heidelberg","_id":"55193","language":[{"iso":"ger"}],"user_id":"220","doi":"10.1007/978-3-662-67357-7","citation":{"apa":"Hoffmann, M., Hilgert, J., &#38; Weich, T. (2024). <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-67357-7\">https://doi.org/10.1007/978-3-662-67357-7</a>","ieee":"M. Hoffmann, J. Hilgert, and T. Weich, <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024.","chicago":"Hoffmann, Max, Joachim Hilgert, and Tobias Weich. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. <a href=\"https://doi.org/10.1007/978-3-662-67357-7\">https://doi.org/10.1007/978-3-662-67357-7</a>.","short":"M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2024.","mla":"Hoffmann, Max, et al. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg, 2024, doi:<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>.","ama":"Hoffmann M, Hilgert J, Weich T. <i>Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik</i>. Springer Berlin Heidelberg; 2024. doi:<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>","bibtex":"@book{Hoffmann_Hilgert_Weich_2024, place={Berlin, Heidelberg}, title={Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-67357-7\">10.1007/978-3-662-67357-7</a>}, publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max and Hilgert, Joachim and Weich, Tobias}, year={2024} }"},"date_created":"2024-07-12T08:36:42Z","place":"Berlin, Heidelberg","department":[{"_id":"97"},{"_id":"643"},{"_id":"548"}],"type":"book"},{"citation":{"mla":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, 128125, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>.","bibtex":"@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}, volume={535}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>}, number={2128125}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }","ama":"Brennecken D. Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>. 2024;535(2). doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>","ieee":"D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, Art. no. 128125, 2024, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>.","apa":"Brennecken, D. (2024). Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>, <i>535</i>(2), Article 128125. <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>","short":"D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).","chicago":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i> 535, no. 2 (2024). <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>."},"volume":535,"user_id":"55911","publisher":"Elsevier BV","_id":"53300","status":"public","department":[{"_id":"555"}],"type":"journal_article","keyword":["Applied Mathematics","Analysis"],"date_created":"2024-04-05T13:55:33Z","publication":"Journal of Mathematical Analysis and Applications","issue":"2","doi":"10.1016/j.jmaa.2024.128125","language":[{"iso":"eng"}],"article_number":"128125","intvolume":"       535","publication_status":"published","date_updated":"2024-09-03T14:40:46Z","author":[{"id":"55911","last_name":"Brennecken","first_name":"Dominik","full_name":"Brennecken, Dominik"}],"publication_identifier":{"issn":["0022-247X"]},"year":"2024","title":"Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting"},{"citation":{"chicago":"Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” In <i>Women in Analysis and PDE</i>, edited by Marianna Chatzakou, Michael Ruzhansky, and Diana Stoeva, 5:425. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham, 2024.","short":"D. Brennecken, M. Rösler, in: M. Chatzakou, M. Ruzhansky, D. Stoeva (Eds.), Women in Analysis and PDE, Birkhäuser Cham, 2024, p. 425.","ama":"Brennecken D, Rösler M. The Laplace transform in Dunkl theory. In: Chatzakou M, Ruzhansky M, Stoeva D, eds. <i>Women in Analysis and PDE</i>. Vol 5. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham; 2024:425.","bibtex":"@inbook{Brennecken_Rösler_2024, series={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente}, title={The Laplace transform in Dunkl theory}, volume={5}, booktitle={Women in Analysis and PDE}, publisher={Birkhäuser Cham}, author={Brennecken, Dominik and Rösler, Margit}, editor={Chatzakou, Marianna and Ruzhansky, Michael and Stoeva, Diana}, year={2024}, pages={425}, collection={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente} }","mla":"Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” <i>Women in Analysis and PDE</i>, edited by Marianna Chatzakou et al., vol. 5, Birkhäuser Cham, 2024, p. 425.","apa":"Brennecken, D., &#38; Rösler, M. (2024). The Laplace transform in Dunkl theory. In M. Chatzakou, M. Ruzhansky, &#38; D. Stoeva (Eds.), <i>Women in Analysis and PDE</i> (Vol. 5, p. 425). Birkhäuser Cham.","ieee":"D. Brennecken and M. Rösler, “The Laplace transform in Dunkl theory,” in <i>Women in Analysis and PDE</i>, vol. 5, M. Chatzakou, M. Ruzhansky, and D. Stoeva, Eds. 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Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups. Published online 2024.","bibtex":"@article{Pinaud_2024, title={Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups}, author={Pinaud, Matthieu}, year={2024} }","mla":"Pinaud, Matthieu. <i>Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups</i>. 2024.","chicago":"Pinaud, Matthieu. “Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups,” 2024.","short":"M. Pinaud, (2024).","apa":"Pinaud, M. (2024). <i>Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups</i>.","ieee":"M. Pinaud, “Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups.” 2024."}},{"publication_identifier":{"issn":["0025-584X","1522-2616"]},"author":[{"id":"55911","last_name":"Brennecken","first_name":"Dominik","full_name":"Brennecken, Dominik"}],"title":"Dunkl convolution and elliptic regularity for Dunkl operators","year":"2024","status":"public","publication_status":"published","date_updated":"2024-10-07T11:46:15Z","_id":"56366","publisher":"Wiley","language":[{"iso":"eng"}],"user_id":"55911","doi":"10.1002/mana.202300370","citation":{"ama":"Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. <i>Mathematische Nachrichten</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>","bibtex":"@article{Brennecken_2024, title={Dunkl convolution and elliptic regularity for Dunkl operators}, DOI={<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Brennecken, Dominik}, year={2024} }","mla":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>Mathematische Nachrichten</i>, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>.","chicago":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>Mathematische Nachrichten</i>, 2024. <a href=\"https://doi.org/10.1002/mana.202300370\">https://doi.org/10.1002/mana.202300370</a>.","short":"D. Brennecken, Mathematische Nachrichten (2024).","apa":"Brennecken, D. (2024). Dunkl convolution and elliptic regularity for Dunkl operators. <i>Mathematische Nachrichten</i>. <a href=\"https://doi.org/10.1002/mana.202300370\">https://doi.org/10.1002/mana.202300370</a>","ieee":"D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” <i>Mathematische Nachrichten</i>, 2024, doi: <a href=\"https://doi.org/10.1002/mana.202300370\">10.1002/mana.202300370</a>."},"publication":"Mathematische Nachrichten","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We discuss in which cases the Dunkl convolution  of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called elliptic Dunkl operators. 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Our argument simplifies known proofs for ergodicity and the result is new in the semi-relativistic case.","lang":"eng"}],"citation":{"ama":"Hinrichs B, Hiroshima F. On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups. <i>arXiv:241209708</i>. Published online 2024.","bibtex":"@article{Hinrichs_Hiroshima_2024, title={On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups}, journal={arXiv:2412.09708}, author={Hinrichs, Benjamin and Hiroshima, Fumio}, year={2024} }","mla":"Hinrichs, Benjamin, and Fumio Hiroshima. “On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups.” <i>ArXiv:2412.09708</i>, 2024.","chicago":"Hinrichs, Benjamin, and Fumio Hiroshima. “On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups.” <i>ArXiv:2412.09708</i>, 2024.","short":"B. Hinrichs, F. Hiroshima, ArXiv:2412.09708 (2024).","apa":"Hinrichs, B., &#38; Hiroshima, F. (2024). On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups. In <i>arXiv:2412.09708</i>.","ieee":"B. Hinrichs and F. 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