ISBN: 9780387380315
ID: 978038738031
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.</ Jay Jorgenson, Serge Lang, Books, Science and Nature, The Heat Kernel and Theta Inversion on SL2(C) Books>Science and Nature, Springer New York
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ISBN: 9780387380315
ID: 1175097
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. The Heat Kernel and Theta Inversion on SL2(C) Jorgenson, Jay / Lang, Serge, Springer
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ISBN: 9780387380315
ID: 121068161
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
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Provides the development of the trace formula and theta inversion formula for SL(2,Z[i]) SL(2,C). Unlike other treatments of the theory, this book begins with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. Mathematics Mathematics eBook, Springer
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Title: | The Heat Kernel and Theta Inversion on SL2(C) |
ISBN: | 9780387380315 |
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 27.09.2016 19:24:43
ISBN/EAN: 9780387380315
ISBN - alternate spelling:
0-387-38031-0, 978-0-387-38031-5
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