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The Heat Kernel And Theta Inversion On S
Jorgenson, Jay; Lang, Serge
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Description for The Heat Kernel And Theta Inversion On S
Hardback. The purpose of this text is to provide a 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, this one begins with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. Series: Springer Monographs in Mathematics. Num Pages: 329 pages, biography. BIC Classification: PBH; PBKJ; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 642.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2008
Publisher
Springer-Verlag New York Inc. United States
Number of pages
329
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
319
Place of Publication
New York, NY, United States
ISBN
9780387380315
SKU
V9780387380315
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Heat Kernel And Theta Inversion On S
From the reviews: "The book under review … provides an introduction to the general theory of semisimple or reductive groups G, with symmetric space G/K (K maximal compact). … It is … meant for experienced insiders, even as the presentation of the material is excellent and accessible. A well-prepared graduate student would do well with this book. ... Read more