The Heat Kernel and Theta Inversion on Sl2c - Couverture rigide

Jorgenson, Jay; Lang, Serge

Couverture rigide

ISBN 10 : 0387380310 ISBN 13 : 9780387380315

Editeur : Springer-Verlag New York Inc., 2008

Synopsis

The 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 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.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0387380310
• ISBN 13: 9780387380315
• Reliure: Relié
• Nombre de pages: 329
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne