The Heat Kernel and Theta Inversion on SL2(C)
By: and
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- Synopsis
- 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.
- Copyright:
- 2008
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9780387380322
- Related ISBNs:
- 9780387380315
- Publisher:
- Springer New York
- Date of Addition:
- 04/30/13
- Copyrighted By:
- Springer New York, New York, NY
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.