| 书目名称 | Generalized Analytic Automorphic Forms in Hypercomplex Spaces |
| 编辑 | Rolf Sören Krausshar |
| 视频video | |
| 概述 | First extensive, comprehensive detailed and rather offrounded treatment of the basic theory of hypercomplex-analytic automorphic forms.Summarizes recent research results on a new branch within hyperco |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2004 |
| 关键词 | Clifford-Analysis; Eisenstein-Reihen; Modulformen; Potentialtheorie; Zahlentheorie; spezielle Funktionen; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b95203 |
| isbn_softcover | 978-3-7643-7059-6 |
| isbn_ebook | 978-3-7643-7804-2Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | Birkhäuser Basel 2004 |
发表于 2025-3-21 19:42:26
