--- _id: '59343' abstract: - lang: eng text: "Abstract\r\n On a finite regular graph, (co)resonant states are eigendistributions of the transfer operator associated to the shift on one-sided infinite non-backtracking paths. We introduce two pairings of resonant and coresonant states, the vertex pairing which involves only the dependence on the initial/terminal vertex of the path, and the geodesic pairing which is given by integrating over all geodesics the evaluation of the coresonant state on the first half of the geodesic times the resonant state on the second half. The main result is that these two pairings coincide up to a constant which depends on the resonance, i.e. the corresponding eigenvalue of the transfer operator." author: - first_name: Christian full_name: Arends, Christian last_name: Arends - first_name: Jan full_name: Frahm, Jan last_name: Frahm - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Arends C, Frahm J, Hilgert J. A pairing formula for resonant states on finite regular graphs. Mathematische Annalen. Published online 2025. doi:10.1007/s00208-025-03140-7 apa: Arends, C., Frahm, J., & Hilgert, J. (2025). A pairing formula for resonant states on finite regular graphs. Mathematische Annalen. https://doi.org/10.1007/s00208-025-03140-7 bibtex: '@article{Arends_Frahm_Hilgert_2025, title={A pairing formula for resonant states on finite regular graphs}, DOI={10.1007/s00208-025-03140-7}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Arends, Christian and Frahm, Jan and Hilgert, Joachim}, year={2025} }' chicago: Arends, Christian, Jan Frahm, and Joachim Hilgert. “A Pairing Formula for Resonant States on Finite Regular Graphs.” Mathematische Annalen, 2025. https://doi.org/10.1007/s00208-025-03140-7. ieee: 'C. Arends, J. Frahm, and J. Hilgert, “A pairing formula for resonant states on finite regular graphs,” Mathematische Annalen, 2025, doi: 10.1007/s00208-025-03140-7.' mla: Arends, Christian, et al. “A Pairing Formula for Resonant States on Finite Regular Graphs.” Mathematische Annalen, Springer Science and Business Media LLC, 2025, doi:10.1007/s00208-025-03140-7. short: C. Arends, J. Frahm, J. Hilgert, Mathematische Annalen (2025). date_created: 2025-04-04T07:59:29Z date_updated: 2025-04-04T07:59:58Z doi: 10.1007/s00208-025-03140-7 language: - iso: eng publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A pairing formula for resonant states on finite regular graphs type: journal_article user_id: '220' year: '2025' ... --- _id: '63248' abstract: - lang: eng text: "Abstract\r\n The Navier–Stokes system \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t + (u\\cdot \\nabla ) u =\\Delta u+\\nabla P + f(x,t), \\\\ \\nabla \\cdot u=0, \\end{array} \\right. \\end{aligned}$$\r\n \ \r\n \ \r\n \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ u\r\n t\r\n \ \r\n +\r\n \ \r\n (\r\n \ u\r\n ·\r\n \ ∇\r\n )\r\n \ \r\n u\r\n \ =\r\n Δ\r\n \ u\r\n +\r\n \ ∇\r\n P\r\n \ +\r\n f\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ t\r\n )\r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n ∇\r\n \ ·\r\n u\r\n \ =\r\n 0\r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n is considered along with homogeneous Dirichlet boundary conditions in a smoothly bounded planar domain \r\n \r\n \ $$\\Omega $$\r\n \r\n Ω\r\n \ \r\n \r\n . It is firstly, inter alia, observed that if \r\n \r\n \ $$T>0$$\r\n \r\n \r\n \ T\r\n >\r\n \ 0\r\n \r\n \r\n \ \r\n and \r\n \ \r\n $$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot \\ln ^\\frac{1}{2} \\big (|f(x,t)|+1\\big ) dx \\bigg \\}^2 dt <\\infty , \\end{aligned}$$\r\n \ \r\n \ \r\n \r\n \r\n \ \r\n \r\n \ \r\n ∫\r\n \ 0\r\n T\r\n \ \r\n \r\n \ {\r\n \r\n \ \r\n ∫\r\n \ Ω\r\n \r\n \ \r\n |\r\n \ f\r\n \r\n \ (\r\n x\r\n \ ,\r\n t\r\n \ )\r\n \r\n \ |\r\n \r\n \ ·\r\n \r\n \ ln\r\n \r\n \ 1\r\n 2\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ |\r\n f\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ t\r\n )\r\n \ \r\n |\r\n \ \r\n +\r\n \ 1\r\n \r\n \ )\r\n \r\n \ d\r\n x\r\n \ \r\n \r\n \ }\r\n \r\n \ 2\r\n \r\n \ d\r\n t\r\n \ <\r\n ∞\r\n \ ,\r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \r\n \ then for all divergence-free \r\n \ \r\n $$u_0\\in L^2(\\Omega ;{\\mathbb {R}}^2)$$\r\n \r\n \r\n \ \r\n u\r\n \ 0\r\n \r\n \ ∈\r\n \r\n L\r\n \ 2\r\n \r\n \ \r\n (\r\n \ Ω\r\n ;\r\n \ \r\n \r\n R\r\n \ \r\n 2\r\n \ \r\n )\r\n \ \r\n \r\n \r\n \ \r\n , a corresponding initial-boundary value problem admits a weak solution u with \r\n \r\n $$u|_{t=0}=u_0$$\r\n \ \r\n \ \r\n \r\n \r\n \ u\r\n |\r\n \ \r\n \r\n t\r\n \ =\r\n 0\r\n \ \r\n \r\n =\r\n \ \r\n u\r\n \ 0\r\n \r\n \ \r\n \r\n \r\n \ . For any positive and nondecreasing \r\n \ \r\n $$L\\in C^0([0,\\infty ))$$\r\n \r\n \ \r\n L\r\n ∈\r\n \ \r\n C\r\n \ 0\r\n \r\n \ \r\n (\r\n \ \r\n [\r\n \ 0\r\n ,\r\n \ ∞\r\n )\r\n \ \r\n )\r\n \ \r\n \r\n \r\n \ \r\n such that \r\n \r\n $$\\begin{aligned} \\frac{L(\\xi )}{\\ln ^\\frac{1}{2} \\xi } \\rightarrow 0 \\qquad \\text{ as } \\xi \\rightarrow \\infty , \\end{aligned}$$\r\n \r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \ \r\n L\r\n \ (\r\n ξ\r\n \ )\r\n \r\n \ \r\n \r\n \ ln\r\n \r\n \ 1\r\n 2\r\n \ \r\n \r\n \ ξ\r\n \r\n \ \r\n →\r\n \ 0\r\n \r\n \ \r\n as\r\n \ \r\n ξ\r\n \ →\r\n ∞\r\n \ ,\r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \r\n \ this is complemented by a statement on nonexistence of such a solution in the presence of smooth initial data and a suitably constructed \r\n \r\n $$f:\\Omega \\times (0,T)\\rightarrow {\\mathbb {R}}^2$$\r\n \r\n \r\n \ f\r\n :\r\n \ Ω\r\n ×\r\n \ \r\n (\r\n \ 0\r\n ,\r\n \ T\r\n )\r\n \ \r\n →\r\n \ \r\n \r\n R\r\n \ \r\n 2\r\n \ \r\n \r\n \r\n \ \r\n fulfilling \r\n \r\n $$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot L\\big (|f(x,t)|\\big ) dx \\bigg \\}^2 dt < \\infty . \\end{aligned}$$\r\n \r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \ ∫\r\n 0\r\n \ T\r\n \r\n \ \r\n {\r\n \ \r\n \r\n \ ∫\r\n Ω\r\n \ \r\n \r\n \ |\r\n f\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ t\r\n )\r\n \ \r\n |\r\n \ \r\n ·\r\n \ \r\n L\r\n \ \r\n (\r\n \ \r\n |\r\n \ f\r\n \r\n \ (\r\n x\r\n \ ,\r\n t\r\n \ )\r\n \r\n \ |\r\n \r\n \ )\r\n \r\n \ d\r\n x\r\n \ \r\n \r\n \ \r\n }\r\n \ \r\n 2\r\n \ \r\n d\r\n \ t\r\n <\r\n \ ∞\r\n .\r\n \ \r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n This resolves a fine structure in the borderline case \r\n \r\n \ $$p=1$$\r\n \r\n \r\n \ p\r\n =\r\n \ 1\r\n \r\n \r\n \ \r\n and \r\n \ \r\n $$q=2$$\r\n \ \r\n \ \r\n q\r\n =\r\n \ 2\r\n \r\n \r\n \ \r\n appearing in results on existence of weak solutions for sources in \r\n \ \r\n $$L^q((0,T);L^p(\\Omega ;{\\mathbb {R}}^2))$$\r\n \r\n \ \r\n \r\n L\r\n \ q\r\n \r\n \ \r\n (\r\n \ \r\n (\r\n \ 0\r\n ,\r\n \ T\r\n )\r\n \ \r\n ;\r\n \ \r\n L\r\n \ p\r\n \r\n \ \r\n (\r\n \ Ω\r\n ;\r\n \ \r\n \r\n \ R\r\n \r\n \ 2\r\n \r\n \ )\r\n \r\n \ )\r\n \r\n \ \r\n \r\n \r\n \ when \r\n \r\n \ $$p\\in (1,\\infty ]$$\r\n \r\n \r\n \ p\r\n ∈\r\n \ (\r\n 1\r\n \ ,\r\n ∞\r\n \ ]\r\n \r\n \r\n \ \r\n and \r\n \ \r\n $$q\\in [1,\\infty ]$$\r\n \r\n \ \r\n q\r\n ∈\r\n \ [\r\n 1\r\n \ ,\r\n ∞\r\n \ ]\r\n \r\n \r\n \ \r\n satisfy \r\n \r\n $$\\frac{1}{p}+\\frac{1}{q}\\le \\frac{3}{2}$$\r\n \r\n \ \r\n \r\n 1\r\n \ p\r\n \r\n \ +\r\n \r\n \ 1\r\n q\r\n \ \r\n ≤\r\n \ \r\n 3\r\n \ 2\r\n \r\n \ \r\n \r\n \r\n \ , and on nonexistence if here \r\n \ \r\n $$p\\in [1,\\infty )$$\r\n \r\n \ \r\n p\r\n ∈\r\n \ [\r\n 1\r\n \ ,\r\n ∞\r\n \ )\r\n \r\n \r\n \ \r\n and \r\n \ \r\n $$q\\in [1,\\infty )$$\r\n \r\n \ \r\n q\r\n ∈\r\n \ [\r\n 1\r\n \ ,\r\n ∞\r\n \ )\r\n \r\n \r\n \ \r\n are such that \r\n \r\n $$\\frac{1}{p}+\\frac{1}{q}>\\frac{3}{2}$$\r\n \ \r\n \ \r\n \r\n 1\r\n \ p\r\n \r\n \ +\r\n \r\n \ 1\r\n q\r\n \ \r\n >\r\n \ \r\n 3\r\n \ 2\r\n \r\n \ \r\n \r\n \r\n \ ." author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen. 2024;391(2):3023-3054. doi:10.1007/s00208-024-02987-6 apa: Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen, 391(2), 3023–3054. https://doi.org/10.1007/s00208-024-02987-6 bibtex: '@article{Winkler_2024, title={Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system}, volume={391}, DOI={10.1007/s00208-024-02987-6}, number={2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={3023–3054} }' chicago: 'Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen 391, no. 2 (2024): 3023–54. https://doi.org/10.1007/s00208-024-02987-6.' ieee: 'M. Winkler, “Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system,” Mathematische Annalen, vol. 391, no. 2, pp. 3023–3054, 2024, doi: 10.1007/s00208-024-02987-6.' mla: Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:10.1007/s00208-024-02987-6. short: M. Winkler, Mathematische Annalen 391 (2024) 3023–3054. date_created: 2025-12-18T19:02:09Z date_updated: 2025-12-18T20:13:05Z doi: 10.1007/s00208-024-02987-6 intvolume: ' 391' issue: '2' language: - iso: eng page: 3023-3054 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system type: journal_article user_id: '31496' volume: 391 year: '2024' ... --- _id: '64272' abstract: - lang: eng text: "AbstractIn the present paper we further the study of the compression cone of a real spherical homogeneous space

$$Z=G/H$$

\r\n \r\n \ Z\r\n =\r\n \ G\r\n /\r\n \ H\r\n \r\n . In particular we provide a geometric construction of the little Weyl group of Z introduced recently by Knop and Krötz. Our technique is based on a fine analysis of limits of conjugates of the subalgebra

$$\\mathrm{Lie}(H)$$

\r\n \r\n \ Lie\r\n (\r\n \ H\r\n )\r\n \ \r\n along one-parameter subgroups in the Grassmannian of subspaces of

$$\\mathrm{Lie}(G)$$

\r\n \r\n \ Lie\r\n (\r\n \ G\r\n )\r\n \ \r\n . The little Weyl group is obtained as a finite reflection group generated by the reflections in the walls of the compression cone." author: - first_name: Job J. full_name: Kuit, Job J. last_name: Kuit - first_name: Eitan full_name: Sayag, Eitan last_name: Sayag citation: ama: Kuit JJ, Sayag E. On the little Weyl group of a real spherical space. Mathematische Annalen. 2022;387(1-2):433-498. doi:10.1007/s00208-022-02473-x apa: Kuit, J. J., & Sayag, E. (2022). On the little Weyl group of a real spherical space. Mathematische Annalen, 387(1–2), 433–498. https://doi.org/10.1007/s00208-022-02473-x bibtex: '@article{Kuit_Sayag_2022, title={On the little Weyl group of a real spherical space}, volume={387}, DOI={10.1007/s00208-022-02473-x}, number={1–2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Kuit, Job J. and Sayag, Eitan}, year={2022}, pages={433–498} }' chicago: 'Kuit, Job J., and Eitan Sayag. “On the Little Weyl Group of a Real Spherical Space.” Mathematische Annalen 387, no. 1–2 (2022): 433–98. https://doi.org/10.1007/s00208-022-02473-x.' ieee: 'J. J. Kuit and E. Sayag, “On the little Weyl group of a real spherical space,” Mathematische Annalen, vol. 387, no. 1–2, pp. 433–498, 2022, doi: 10.1007/s00208-022-02473-x.' mla: Kuit, Job J., and Eitan Sayag. “On the Little Weyl Group of a Real Spherical Space.” Mathematische Annalen, vol. 387, no. 1–2, Springer Science and Business Media LLC, 2022, pp. 433–98, doi:10.1007/s00208-022-02473-x. short: J.J. Kuit, E. Sayag, Mathematische Annalen 387 (2022) 433–498. date_created: 2026-02-19T13:24:21Z date_updated: 2026-02-19T13:25:52Z doi: 10.1007/s00208-022-02473-x intvolume: ' 387' issue: 1-2 language: - iso: eng page: 433-498 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: On the little Weyl group of a real spherical space type: journal_article user_id: '52730' volume: 387 year: '2022' ... --- _id: '63361' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen. 2018;373(3-4):1237-1282. doi:10.1007/s00208-018-1722-8 apa: Winkler, M. (2018). How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Mathematische Annalen, 373(3–4), 1237–1282. https://doi.org/10.1007/s00208-018-1722-8 bibtex: '@article{Winkler_2018, title={How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases}, volume={373}, DOI={10.1007/s00208-018-1722-8}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1237–1282} }' chicago: 'Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” Mathematische Annalen 373, no. 3–4 (2018): 1237–82. https://doi.org/10.1007/s00208-018-1722-8.' ieee: 'M. Winkler, “How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases,” Mathematische Annalen, vol. 373, no. 3–4, pp. 1237–1282, 2018, doi: 10.1007/s00208-018-1722-8.' mla: Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” Mathematische Annalen, vol. 373, no. 3–4, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi:10.1007/s00208-018-1722-8. short: M. Winkler, Mathematische Annalen 373 (2018) 1237–1282. date_created: 2025-12-19T10:57:59Z date_updated: 2025-12-19T10:58:06Z doi: 10.1007/s00208-018-1722-8 intvolume: ' 373' issue: 3-4 language: - iso: eng page: 1237-1282 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases type: journal_article user_id: '31496' volume: 373 year: '2018' ... --- _id: '31267' author: - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5 apa: Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5 bibtex: '@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances for hyperbolic surfaces}, volume={370}, DOI={10.1007/s00208-017-1576-5}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2017}, pages={1231–1275} }' chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen 370, no. 3–4 (2017): 1231–75. https://doi.org/10.1007/s00208-017-1576-5.' ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.' mla: Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1231–75, doi:10.1007/s00208-017-1576-5. short: C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275. date_created: 2022-05-17T12:09:43Z date_updated: 2024-02-19T06:18:21Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' doi: 10.1007/s00208-017-1576-5 external_id: arxiv: - '1605.08801' intvolume: ' 370' issue: 3-4 keyword: - General Mathematics language: - iso: eng page: 1231-1275 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Classical and quantum resonances for hyperbolic surfaces type: journal_article user_id: '49063' volume: 370 year: '2017' ... --- _id: '53189' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. Rational structures on automorphic representations. Mathematische Annalen. 2017;370(3-4):1805-1881. doi:10.1007/s00208-017-1567-6 apa: Januszewski, F. (2017). Rational structures on automorphic representations. Mathematische Annalen, 370(3–4), 1805–1881. https://doi.org/10.1007/s00208-017-1567-6 bibtex: '@article{Januszewski_2017, title={Rational structures on automorphic representations}, volume={370}, DOI={10.1007/s00208-017-1567-6}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Januszewski, Fabian}, year={2017}, pages={1805–1881} }' chicago: 'Januszewski, Fabian. “Rational Structures on Automorphic Representations.” Mathematische Annalen 370, no. 3–4 (2017): 1805–81. https://doi.org/10.1007/s00208-017-1567-6.' ieee: 'F. Januszewski, “Rational structures on automorphic representations,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1805–1881, 2017, doi: 10.1007/s00208-017-1567-6.' mla: Januszewski, Fabian. “Rational Structures on Automorphic Representations.” Mathematische Annalen, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1805–81, doi:10.1007/s00208-017-1567-6. short: F. Januszewski, Mathematische Annalen 370 (2017) 1805–1881. date_created: 2024-04-03T16:54:45Z date_updated: 2024-04-03T17:12:59Z doi: 10.1007/s00208-017-1567-6 extern: '1' intvolume: ' 370' issue: 3-4 keyword: - General Mathematics language: - iso: eng page: 1805-1881 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Rational structures on automorphic representations type: journal_article user_id: '81636' volume: 370 year: '2017' ...