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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Heat Kernel and Theta Inversion on SL2(C)
• Author: Jay Jorgenson, Serge Lang
• Language: English
• Binding: Hardback
• Number of pages: 319
• EAN: 9780387380315
• ISBN: 0387380310
• ID: 05247811
• Publisher: Springer-Verlag New York Inc.
• Weight: 664 g
• Dimensions: 235 × 155 × 22 mm
• Date of publishing: 15. October 2008

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