| The Heat Kernel and Theta Inversion on SL2(C) 2008 Edition Contributor(s): Jorgenson, Jay (Author), Lang, Serge (Author) |
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ISBN: 0387380310 ISBN-13: 9780387380315 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover Published: October 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | Group Theory |
| Dewey: 515.7 |
| LCCN: 2006931199 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 0.8" H x 6.2" W x 9.3" (1.30 lbs) 332 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |