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ISBN: 0387380310
[SR: 4947013], Hardcover, [EAN: 9780387380315], Springer, Springer, Book, [PU: Springer], Springer, 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.
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Jay Jorgenson, Serge Lang:
The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - hardcoverISBN: 0387380310
[SR: 4947013], Hardcover, [EAN: 9780387380315], Springer, Springer, Book, [PU: Springer], Springer, 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.
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ISBN: 9780387380315
ID: 190718556
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.Fremdsprachige Bücher>Englische Bücher, Springer
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ISBN: 9780387380315
ID: 9780387380315
Mathematics; Number Theory; Group Theory and Generalizations; Algebra; Analysis Division, Invariant, convergence, convolution, development, evaluation, form, function, functions, kernel, zeta function Books Book, Springer Science+Business Media
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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 Shipping costs: EUR 0.00
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Title: | The Heat Kernel and Theta Inversion on SL2(C) |
ISBN: | 0387380310 |
Details of the book - The Heat Kernel and Theta Inversion on SL2(C)
EAN (ISBN-13): 9780387380315
ISBN (ISBN-10): 0387380310
Hardcover
Publishing year: 2009
Publisher: SPRINGER VERLAG GMBH
319 Pages
Weight: 0,590 kg
Language: eng/Englisch
Book in our database since 15.10.2007 00:59:53
Book found last time on 01.03.2017 19:13:22
ISBN/EAN: 0387380310
ISBN - alternate spelling:
0-387-38031-0, 978-0-387-38031-5
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