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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Heat Kernel and Theta Inversion on SL2(C)

The Heat Kernel and Theta Inversion on SL2(C)

Lang, Serge
Jorgenson, Jay

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 0387380310
ISBN13: 9780387380315
Publisher: Springer
Published: Oct 15 2008
Pages: 319
Weight: 1.30
Height: 0.80 Width: 6.20 Depth: 9.30
Language: English

The 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 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.

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