The Heat Kernel and Theta Inversion on SL2(C).

The Heat Kernel and Theta Inversion on SL2(C)

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  • SHUB61017
  • ISBN details

    • ISBN 10: 0387380310
    • ISBN 13: 9780387380315


    Overview

    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.



    Other Details

    • Publisher: Springer-Verlag New York, LLC
    • Format: Hardcover
    • Edition: 2008
    • Date Published: September 2008
    • Authors: Jay Jorgenson, Serge Lang