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Heat Eisenstein Series on \(\mathrm{SL}_n(C)\)
Jay Jorgenson, City College of New York, CUNY, NY, and Serge Lang

Memoirs of the American Mathematical Society
2009; 127 pp; softcover
Volume: 201
ISBN-10: 0-8218-4044-4
ISBN-13: 978-0-8218-4044-3
List Price: US$71
Individual Members: US$42.60
Institutional Members: US$56.80
Order Code: MEMO/201/946
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The purpose of this Memoir is to define and study multi-variable Eisenstein series attached to heat kernels. Fundamental properties of heat Eisenstein series are proved, and conjectural behavior, including their role in spectral expansions, are stated.

Table of Contents

  • Introduction
  • Notation and terminology
  • Estimates on \({\rm SL}_{n}\) and parabolics
  • Eisenstein series
  • Adjointness and inversion relations
  • Applications of the heat equation
  • Appendix. The heat kernel
  • Bibliography
  • Index
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