© 1991

Harmonic Analysis on Reductive Groups

  • William H. Barker
  • Paul J. SallyJr.

Part of the Progress in Mathematics book series (PM, volume 101)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jeffrey Adams
    Pages 1-50
  3. Jean-Philippe Anker
    Pages 51-56
  4. James Arthur
    Pages 57-78
  5. Erik van den Ban, Henrik Schlichtkrull
    Pages 79-87
  6. Colin J. Bushnell, Philip C. Kutzko
    Pages 89-99
  7. Lawrence Morris
    Pages 223-233
  8. Diana Shelstad
    Pages 297-304
  9. David A. Vogan Jr.
    Pages 315-388
  10. Back Matter
    Pages 389-390

About this book


A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym­ posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec­ ond, there was a series of single lectures in which the speakers presented an overview of their latest research.


Fourier transform Irreducibility calculus harmonic analysis lie group

Editors and affiliations

  • William H. Barker
    • 1
  • Paul J. SallyJr.
    • 2
  1. 1.Department of MathematicsBowdoin CollegeBrunswickUSA
  2. 2.Department of MathematicsUniversity of ChicagoChicagoUSA

Bibliographic information

  • Book Title Harmonic Analysis on Reductive Groups
  • Editors W. Barker
    P. Sally
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Birkhäuser Boston 1991
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-8176-3514-5
  • Softcover ISBN 978-1-4612-6768-3
  • eBook ISBN 978-1-4612-0455-8
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages XII, 390
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Abstract Harmonic Analysis
    Group Theory and Generalizations
  • Buy this book on publisher's site