The Heat Kernel and Theta Inversion on SL2 pdf epub mobi txt 电子书下载 2026

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出版者:Springer

作者:Jay Jorgenson

出品人:

页数:319

译者:

出版时间:2008-10-15

价格:USD 189.00

装帧:Hardcover

isbn号码:9780387380315

丛书系列:Springer Monographs in Mathematics

图书标签:

数学
akb
Math
热核
Theta反演
SL2群
调和分析
表示论
特殊函数
数学物理
自守形式
李群
几何学

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具体描述

The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. The heat kernel on the quotient space SL(2,Z[i])SL(2,C) is arrived at through periodization, and further expanded in an eigenfunction expansion. A theta inversion formula is obtained by studying the trace of the heat kernel. Following the author's previous work, the inversion formula then leads to zeta functions through the Gauss transform.

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作者简介

Serge Lang (May 19, 1927 – September 12, 2005) was a French-born American mathematician. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group.

Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated from the California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951. He held faculty positions at the University of Chicago and Columbia University (from 1955, leaving in 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University.