Sinossi
This book offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. It establishes explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series, and introduces hypercomplex multiplication of lattices.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
From the reviews:
“Its remarkable feature is a masterful combination of deep and sophisticated results with very accessible form of presentation. I am sure the book will have numerous and far-reaching consequences and repercussions.”(ZENTRALBLATT MATH)
Contenuti
Introduction.- 1. Function Theory in Hypercomplex Spaces.- 2. Clifford-analytic Eisenstein Series Associated to Translation Groups.- 3. Clifford-analytic Modular Forms.- Bibliography.- Index.
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Generalized analytic automorphic forms in hypercomplex spaces.
Editore:
Basel, Birkhäuser, 2010
ISBN 10: 3764370599
ISBN 13: 9783764370596
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Softcover. [Nachdr.]. XV,167 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16800 9783764370596 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2480152
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics)
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Paperback. Condizione: New. Codice articolo 6666-IUK-9783764370596
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Editore:
Springer, Basel, Birkhäuser Basel, Birkhäuser Feb 2004, 2004
ISBN 10: 3764370599
ISBN 13: 9783764370596
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces.Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced. Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described. 168 pp. Englisch. Codice articolo 9783764370596
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
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Condizione: New. Offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. This work establishes explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series, and introduces hypercomplex multiplication of lattices. Series: Frontiers in Mathematics. Num Pages: 168 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 254 x 178 x 10. Weight in Grams: 337. . 2004. Paperback. . . . . Codice articolo V9783764370596
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First extensive, comprehensive detailed and rather offrounded treatment of the basic theory of hypercomplex-analytic automorphic formsSummarizes recent research results on a new branch within hypercomplex analysis and analytic number theory. Codice articolo 5279581
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
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Condizione: New. Offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. This work establishes explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series, and introduces hypercomplex multiplication of lattices. Series: Frontiers in Mathematics. Num Pages: 168 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 254 x 178 x 10. Weight in Grams: 337. . 2004. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9783764370596
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
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Birkhäuser Basel, Birkhäuser Basel Feb 2004, 2004
ISBN 10: 3764370599
ISBN 13: 9783764370596
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces.Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced.Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 188 pp. Englisch. Codice articolo 9783764370596
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces.Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. In particular, explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series are established and a concept of hypercomplex multiplication of lattices is introduced. Applications to the theory of Hilbert spaces with reproducing kernels, to partial differential equations and index theory on some conformal manifolds are also described. Codice articolo 9783764370596
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
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Taschenbuch. Condizione: Neu. Generalized Analytic Automorphic Forms in Hypercomplex Spaces | Rolf S. Krausshar | Taschenbuch | Frontiers in Mathematics | xv | Englisch | 2004 | Birkhäuser | EAN 9783764370596 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 102480217
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