Miatello, Roberto J (18 results)
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Published by Providence, American Mathematical Society, 2009
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Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00434 9780821842027 Sprache: Englisch Gewicht in Gramm: 150.
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Published by Springer International Publishing AG, CH, 2023
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Paperback. Condition: New. 1st ed. 2023. This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the "abelian" Fourier term modules connected to characters of the maximal unipotent… subgroups of SU(2,1), and also the "non-abelian" modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included.These results can be applied to prove a completeness result for Poincaré series in spaces of square integrable automorphic forms.Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincaré series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed.
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Paperback. Condition: Brand New. 221 pages. 9.25x6.10x0.47 inches. In Stock.
Representations of SU(2,1) in Fourier Term Modules: 2340 (Lecture Notes in Mathematics, 2340)
Bruggeman, Roelof W. Roelof W. Bruggeman, Roberto J. Miatello,
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Condition: New. pp. 224.
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Published by Springer International Publishing AG, CH, 2023
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Paperback. Condition: New. 1st ed. 2023.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the 'abelian' Fourier term… modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the 'non-abelian' modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included.These results can be applied to prove a completeness result for Poincaré series in spaces of square integrable automorphic forms.Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincaré series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed. 224 pp. Englisch.
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Condition: New. PRINT ON DEMAND pp. 224.
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Describes the structure of Fourier term modulesGives complete Fourier-Jacobi expansions for SU(2,1)Provides computations in the Mathematica notebookRoelof W.  Bruggeman was born in Zwolle, the Netherlands. He obta…ined hi.
