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Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>. 2018;35(3):1093-1112. doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>","mla":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, Wiley, 2018, pp. 1093–112, doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","chicago":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 35, no. 3 (2018): 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>.","short":"B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.","ieee":"B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, pp. 1093–1112, 2018, doi: <a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","apa":"Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>35</i>(3), 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>"},"user_id":"100441","volume":35,"page":"1093-1112","_id":"45951","publisher":"Wiley","status":"public","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:41:54Z","publication":"Numerical Methods for Partial Differential Equations","issue":"3","doi":"10.1002/num.22340","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:21:13Z","publication_status":"published","intvolume":"        35","title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","year":"2018","author":[{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0749-159X","1098-2426"]}},{"title":"Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme","year":"2018","status":"public","author":[{"full_name":"Köchling, Daniel","first_name":"Daniel","last_name":"Köchling"}],"date_updated":"2024-04-03T10:39:17Z","intvolume":"       382","language":[{"iso":"ger"}],"_id":"27156","publisher":"Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382","user_id":"5786","volume":382,"citation":{"mla":"Köchling, Daniel. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","bibtex":"@book{Köchling_2018, title={Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme}, volume={382}, publisher={Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382}, author={Köchling, Daniel}, year={2018} }","ama":"Köchling D. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Vol 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382; 2018.","ieee":"D. Köchling, <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>, vol. 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","apa":"Köchling, D. (2018). <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i> (Vol. 382). Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382.","short":"D. Köchling, Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme, Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018.","chicago":"Köchling, Daniel. <i>Systematik zur integrativen Planung des Verhaltens selbstoptimierender Produktionssysteme</i>. Vol. 382. Fakultät für Maschinenbau, Universität Paderborn, HNI-Verlagsschriftenreihe, Paderborn, Band 382, 2018."},"date_created":"2021-11-04T13:40:53Z","type":"dissertation","department":[{"_id":"26"}]},{"language":[{"iso":"eng"}],"doi":"10.1090/tran/7527","publication_identifier":{"issn":["0002-9947","1088-6850"]},"author":[{"first_name":"Fabian","last_name":"Januszewski","orcid":"0000-0002-3184-237X","full_name":"Januszewski, Fabian","id":"81636"}],"year":"2018","title":"On period relations for automorphic 𝐿-functions I","article_type":"original","intvolume":"       371","publication_status":"published","date_updated":"2024-04-03T17:26:38Z","date_created":"2024-04-03T16:58:26Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"publication":"Transactions of the American Mathematical Society","issue":"9","extern":"1","abstract":[{"text":"<p>This paper is the first in a series of two dedicated to the study of period relations of the type <disp-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L left-parenthesis one half plus k comma normal upper Pi right-parenthesis element-of left-parenthesis 2 pi i right-parenthesis Superscript d dot k Baseline normal upper Omega Subscript left-parenthesis negative 1 right-parenthesis Sub Superscript k Subscript Baseline reverse-solidus bf upper Q left-parenthesis normal upper Pi right-parenthesis comma one half plus k critical comma\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>L</mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">(</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">)</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo>∈<!-- ∈ --></mml:mo>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>π<!-- π --></mml:mi>\r\n      <mml:mi>i</mml:mi>\r\n      <mml:msup>\r\n        <mml:mo stretchy=\"false\">)</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi>d</mml:mi>\r\n          <mml:mo>⋅<!-- ⋅ --></mml:mo>\r\n          <mml:mi>k</mml:mi>\r\n        </mml:mrow>\r\n      </mml:msup>\r\n      <mml:msub>\r\n        <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo stretchy=\"false\">(</mml:mo>\r\n          <mml:mo>−<!-- − --></mml:mo>\r\n          <mml:mn>1</mml:mn>\r\n          <mml:msup>\r\n            <mml:mo stretchy=\"false\">)</mml:mo>\r\n            <mml:mi>k</mml:mi>\r\n          </mml:msup>\r\n        </mml:mrow>\r\n      </mml:msub>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mtext>\\bf Q</mml:mtext>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mspace width=\"1em\" />\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mtext>critical</mml:mtext>\r\n      <mml:mo>,</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\begin{equation*} L\\Big (\\frac {1}{2}+k,\\Pi \\Big )\\;\\in \\;(2\\pi i)^{d\\cdot k}\\Omega _{(-1)^k}\\textrm {\\bf Q}(\\Pi ),\\quad \\frac {1}{2}+k\\;\\text {critical}, \\end{equation*}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n for certain automorphic representations <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> of a reductive group <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G.</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> In this paper we discuss the case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis n plus 1 right-parenthesis times normal upper G normal upper L left-parenthesis n right-parenthesis period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(n+1)\\times \\mathrm {GL}(n).</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> The case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis 2 n right-parenthesis\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(2n)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> is discussed in part two. Our method is representation theoretic and relies on the author’s recent results on global rational structures on automorphic representations. We show that the above period relations are intimately related to the field of definition of the global representation <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> under consideration. The new period relations we prove are in accordance with Deligne’s Conjecture on special values of <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\">\r\n  <mml:semantics>\r\n    <mml:mi>L</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">L</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>-functions, and the author expects this method to apply to other cases as well.</p>","lang":"eng"}],"_id":"53191","publisher":"American Mathematical Society (AMS)","page":"6547-6580","volume":371,"user_id":"81636","status":"public","citation":{"ieee":"F. Januszewski, “On period relations for automorphic 𝐿-functions I,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, pp. 6547–6580, 2018, doi: <a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","apa":"Januszewski, F. (2018). On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(9), 6547–6580. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>","chicago":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i> 371, no. 9 (2018): 6547–80. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>.","short":"F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580.","mla":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, American Mathematical Society (AMS), 2018, pp. 6547–80, doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","bibtex":"@article{Januszewski_2018, title={On period relations for automorphic 𝐿-functions I}, volume={371}, DOI={<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>}, number={9}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580} }","ama":"Januszewski F. On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>. 2018;371(9):6547-6580. doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>"}},{"status":"public","title":"In the Restaurant: From Michelin Stars to Fast Food; What Eating Out Tells Us About Who We Are","year":"2018","author":[{"last_name":"Ribbat","first_name":"Christoph","full_name":"Ribbat, Christoph","id":"426"}],"date_updated":"2024-04-04T08:20:12Z","_id":"44084","publisher":"Pushkin","language":[{"iso":"eng"}],"user_id":"426","citation":{"short":"C. Ribbat, In the Restaurant: From Michelin Stars to Fast Food; What Eating Out Tells Us About Who We Are, Pushkin, London, 2018.","chicago":"Ribbat, Christoph. <i>In the Restaurant: From Michelin Stars to Fast Food; What Eating Out Tells Us About Who We Are</i>. London: Pushkin, 2018.","ieee":"C. Ribbat, <i>In the Restaurant: From Michelin Stars to Fast Food; What Eating Out Tells Us About Who We Are</i>. 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Pushkin, 2018."},"place":"London","date_created":"2023-04-20T12:56:36Z","type":"book"},{"publication_status":"published","date_updated":"2024-04-05T13:18:44Z","title":"Improper Signaling for OFDM Underlay Cognitive Radio Systems","year":"2018","status":"public","author":[{"full_name":"Soleymani, Mohammad","last_name":"Soleymani","first_name":"Mohammad"},{"first_name":"Christian","last_name":"Lameiro","full_name":"Lameiro, Christian"},{"full_name":"Schreier, Peter J.","last_name":"Schreier","first_name":"Peter J."},{"first_name":"Ignacio","last_name":"Santamaria","full_name":"Santamaria, Ignacio"}],"user_id":"67076","doi":"10.1109/ssp.2018.8450843","language":[{"iso":"eng"}],"_id":"53278","publisher":"IEEE","publication":"2018 IEEE Statistical Signal Processing Workshop (SSP)","citation":{"ama":"Soleymani M, Lameiro C, Schreier PJ, Santamaria I. Improper Signaling for OFDM Underlay Cognitive Radio Systems. In: <i>2018 IEEE Statistical Signal Processing Workshop (SSP)</i>. 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Schreier, and Ignacio Santamaria. “Improper Signaling for OFDM Underlay Cognitive Radio Systems.” In <i>2018 IEEE Statistical Signal Processing Workshop (SSP)</i>. IEEE, 2018. <a href=\"https://doi.org/10.1109/ssp.2018.8450843\">https://doi.org/10.1109/ssp.2018.8450843</a>.","short":"M. Soleymani, C. Lameiro, P.J. Schreier, I. Santamaria, in: 2018 IEEE Statistical Signal Processing Workshop (SSP), IEEE, 2018.","apa":"Soleymani, M., Lameiro, C., Schreier, P. J., &#38; Santamaria, I. (2018). Improper Signaling for OFDM Underlay Cognitive Radio Systems. <i>2018 IEEE Statistical Signal Processing Workshop (SSP)</i>. <a href=\"https://doi.org/10.1109/ssp.2018.8450843\">https://doi.org/10.1109/ssp.2018.8450843</a>","ieee":"M. Soleymani, C. Lameiro, P. J. Schreier, and I. 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