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Heat Kernel and Theta Inversion on SL2(C)
Language
English
English
Book
Hardback
The purpose of the text is to provide a complete, self-contained development of the trace formula an...
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Libristo code: 05247811
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The purpose of the 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 gotten 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.
About the book
Full name
Heat Kernel and Theta Inversion on SL2(C)
Author
Jay Jorgenson, Serge Lang
Language
English
English
Binding
Book - Hardback
Date of issue
2008
Number of pages
319
EAN
9780387380315
ISBN
0387380310
Libristo code
05247811
Publishers
Springer-Verlag New York Inc.
Weight
664
Dimensions
155 x 235 x 22
