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The Heat Kernel and Theta Inversion on SL2(C)

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The Heat Kernel and Theta Inversion on SL2(C) - Jorgenson, Jay, and Lang, Serge
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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 ...

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The Heat Kernel and Theta Inversion on SL2(C) 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441922823

Paperback

The Heat Kernel and Theta Inversion on SL2(C) 2009, Springer, New York, NY

ISBN-13: 9780387380315

2008 edition

Hardcover