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[宏观经济指标] Generalized Analytic Automorphic Forms in Hypercomplex Spaces [推广有奖]

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zhushiyou 发表于 2007-6-21 13:38:00 |显示全部楼层 |坛友微信交流群
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128219.pdf (1.39 MB, 需要: 30 个论坛币) <BR>_orig<IMG src="http://pixhost.eu/avaxhome/avaxhome/2007-06-20/41sVFxtussL_345.jpg"></A><BR>
<DIV class=center><B>Rolf S. Krausshar, Generalized Analytic Automorphic Forms in Hypercomplex Spaces </B><BR>Birkhauser | ISBN: 3764370599 | (May 27, 200)| 167 pages | PDF | 1.4 MB</DIV><BR>
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<TD class=quote_center>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.</TD></TR></TABLE></DIV>
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关键词:Hypercomplex Automorphic Generalized Generalize Analytic describes complex higher

wanggang07 发表于 2007-6-21 15:52:00 |显示全部楼层 |坛友微信交流群

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