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The Heat Kernel and Theta Inversion on SL2(C)
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The Heat Kernel and Theta Inversion on SL2(C) - new book

ISBN: 9780387380315

The present monograph develops the fundamental ideas and results surrounding heat kernels, spectral theory, and regularized traces associated to the full modular group acting on SL2(C). T… More...

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The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - Jorgenson, Jay, Lang, Serge
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The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - hardcover

2008, ISBN: 9780387380315

Springer, Gebundene Ausgabe, Auflage: 2008, 329 Seiten, Publiziert: 2008-10-15T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780387380315, 0.66 kg, Verkaufsrang: 184223, Algebra & Zahl… More...

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The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - Jorgenson, Jay, Lang, Serge
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Jorgenson, Jay, Lang, Serge:
The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - hardcover

2008

ISBN: 9780387380315

Springer, Gebundene Ausgabe, Auflage: 2008, 329 Seiten, Publiziert: 2008-10-15T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780387380315, 0.66 kg, Verkaufsrang: 184223, Algebra & Zahl… More...

Shipping costs:Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 3.00)
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The Heat Kernel and Theta Inversion on SL2(C) - Jay Jorgenson|Serge Lang
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Jay Jorgenson|Serge Lang:
The Heat Kernel and Theta Inversion on SL2(C) - hardcover

2008, ISBN: 0387380310

[EAN: 9780387380315], Neubuch, [PU: Springer New York], ALGEBRA GRUPPE (MATHEMATISCH) - GRUPPENTHEORIE DIVISION INVARIANT CONVERGENCE CONVOLUTION DEVELOPMENT EVALUATION FORM FUNCTION FUNC… More...

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The Heat Kernel and Theta Inversion on SL2(C) - Jay Jorgenson; Serge Lang
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Jay Jorgenson; Serge Lang:
The Heat Kernel and Theta Inversion on SL2(C) - hardcover

2008, ISBN: 9780387380315

Buch, Hardcover, 2008 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2008

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The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)

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.</

Details of the book - The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)


EAN (ISBN-13): 9780387380315
ISBN (ISBN-10): 0387380310
Hardcover
Paperback
Publishing year: 2009
Publisher: Springer
319 Pages
Weight: 0,590 kg
Language: eng/Englisch

Book in our database since 2007-10-14T18:59:53-04:00 (New York)
Detail page last modified on 2024-03-01T07:23:09-05:00 (New York)
ISBN/EAN: 0387380310

ISBN - alternate spelling:
0-387-38031-0, 978-0-387-38031-5
Alternate spelling and related search-keywords:
Book author: jorgenson, jay, serge lang, jörg lang, jörgenson, springer
Book title: heat kernel theta inversion sl2, 1999 inversion, kernel the kernel, springer mathematics


Information from Publisher

Author: Jay Jorgenson; Serge Lang
Title: Springer Monographs in Mathematics; The Heat Kernel and Theta Inversion on SL2(C)
Publisher: Springer; Springer US
319 Pages
Publishing year: 2008-10-15
New York; NY; US
Printed / Made in
Weight: 0,664 kg
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
X, 319 p.

BB; Number Theory; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; Verstehen; Division; Invariant; convergence; convolution; development; evaluation; form; function; functions; kernel; zeta function; Group Theory and Generalizations; Algebra; Analysis; Number Theory; Group Theory and Generalizations; Algebra; Analysis; Gruppen und Gruppentheorie; Algebra; Mathematische Analysis, allgemein; BC; EA

Introduction.- Spherical Inversion on SL2(C).- The Heat Gaussian and Kernel.- QED, LEG, Transpose, and Casimir.- Convergence and Divergence of the Selberg Trace.- The Cuspidal and Non-Cuspidal Traces.- The Heat Kernel.- The Fundamental Domain.- Gamma Periodization of the Heat Kernel.- Heat Kernel Convolution.- The Tube Domain.- The Fourier Expansion of Eisenstein Series.- Adjointness Formula and the Eigenfunction Expansion.- The Eisenstein Y-Asymptotics.- The Cuspidal Trace Y-Asymptotics.- Analytic Evaluations.- Index.- References.

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