The Heat Kernel and Theta Inversion on SL2(C)

Name: The Heat Kernel and Theta Inversion on SL2(C)
SKU: 3120687
Price: 295.00 NZD
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Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Release date NZ

October 15th, 2008

Author

Audience

Professional & Vocational

Illustrations

X, 319 p.

Pages

319

Series

Springer Monographs in Mathematics

Dimensions

156x234x19

ISBN-13

9780387380315

Product ID

3120687

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