The Heat Kernel and Theta Inversion on SL2(C)

The Heat Kernel and Theta Inversion on SL2(C)

Jay Jorgenson / Serge Lang

132,36 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2008
ISBN:
9780387380315
132,36 €
IVA incluido
Disponible

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Sobre IBD

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.

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