The Heat Kernel and Theta Inversion on SL2 C is popular PDF and ePub book, written by Jay Jorgenson in 2009-02-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Heat Kernel and Theta Inversion on SL2 C can be Read Online from any device for your convenience.
The Heat Kernel and Theta Inversion on SL2 C Book PDF Summary
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./
Detail Book of The Heat Kernel and Theta Inversion on SL2 C PDF
- Author : Jay Jorgenson
- Release : 20 February 2009
- Publisher : Springer Science & Business Media
- ISBN : 9780387380322
- Genre : Mathematics
- Total Page : 314 pages
- Language : English
- PDF File Size : 21,8 Mb
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