By Jay Jorgenson,Serge Lang
The valuable goal of this article is to supply an entire, self-contained improvement of the hint formulation and theta inversion formulation for SL(2,Z[i])SL(2,C). not like different remedies of the idea, the process taken here's first of all the warmth kernel on SL(2,C) linked to the invariant Laplacian, that is derived utilizing round inversion. the warmth kernel at the quotient house SL(2,Z[i])SL(2,C) is arrived at via periodization, and extra improved in an eigenfunction growth. A theta inversion formulation is bought by way of learning the hint of the warmth kernel. Following the author's past paintings, the inversion formulation then results in zeta capabilities during the Gauss transform.
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The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) by Jay Jorgenson,Serge Lang