The Heat Kernel and Theta Inversion on SL2(C)

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book The Heat Kernel and Theta Inversion on SL2(C) by Jay Jorgenson, Serge Lang, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jay Jorgenson, Serge Lang ISBN: 9780387380322
Publisher: Springer New York Publication: February 20, 2009
Imprint: Springer Language: English
Author: Jay Jorgenson, Serge Lang
ISBN: 9780387380322
Publisher: Springer New York
Publication: February 20, 2009
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Around the Globe for Women's Health by Jay Jorgenson, Serge Lang
Cover of the book Behavioral Medicine and Developmental Disabilities by Jay Jorgenson, Serge Lang
Cover of the book Genetics and Genomics of Rice by Jay Jorgenson, Serge Lang
Cover of the book Compatible and Incompatible Relationships by Jay Jorgenson, Serge Lang
Cover of the book Current Review of Minimally Invasive Surgery by Jay Jorgenson, Serge Lang
Cover of the book Electrical Machines by Jay Jorgenson, Serge Lang
Cover of the book Function and Control of the Spx-Family of Proteins Within the Bacterial Stress Response by Jay Jorgenson, Serge Lang
Cover of the book Bismuth-Containing Compounds by Jay Jorgenson, Serge Lang
Cover of the book Mathematical Methods of Classical Mechanics by Jay Jorgenson, Serge Lang
Cover of the book The Human Condition by Jay Jorgenson, Serge Lang
Cover of the book Handbook of Pediatric Chronic Pain by Jay Jorgenson, Serge Lang
Cover of the book Geysers and Geothermal Energy by Jay Jorgenson, Serge Lang
Cover of the book Cataclysmic Cosmic Events and How to Observe Them by Jay Jorgenson, Serge Lang
Cover of the book Scalable Algorithms for Contact Problems by Jay Jorgenson, Serge Lang
Cover of the book Handbook of Parathyroid Diseases by Jay Jorgenson, Serge Lang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy