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Birkhäuser

Representation Theory, Complex Analysis, and Integral Geometry

  • Book
  • © 2012

Overview

Editors:
  1. Bernhard Krötz

    1. , Institut für Analysis, Leibniz Universität Hannover, Hannover, Germany

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  2. Omer Offen

    1. , Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel

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  3. Eitan Sayag

    1. , Department of Mathematics, Ben-Gurion University of the Negev, Be'er Sheva, Israel

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  • Provides a special mix of survey articles and research papers by leading experts in their respective fields
  • Wide variety of topics covered
  • Accessible to graduate students
  • Introduction to current research
  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
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  2. On Function Spaces on Symmetric Spaces

    • Bernhard Krötz, Henrik Schlichtkrull
    Pages 1-8

  3. A Relation Involving Rankin–Selberg L-Functions of Cusp Forms and Maass Forms

    • Jay Jorgenson, Jürg Kramer
    Pages 9-40

  4. Orthogonal Period of a GL 3(ℤ) Eisenstein Series

    • Gautam Chinta, Omer Offen
    Pages 41-59

  5. Regular Orbits of Symmetric Subgroups on Partial Flag Varieties

    • Dan Ciubotaru, Kyo Nishiyama, Peter E. Trapa
    Pages 61-86

  6. Helgason’s Conjecture in Complex Analytical Interior

    • Simon Gindikin
    Pages 87-95

  7. Lectures on Lie Algebras

    • Joseph Bernstein
    Pages 97-132

  8. Stein–Sahi Complementary Series and Their Degenerations

    • Yuri A. Neretin
    Pages 133-183

  9. The Special Symplectic Structure of Binary Cubics

    • Marcus J. Slupinski, Robert J. Stanton
    Pages 185-230

  10. On the Restriction of Representations of SL(2, ℂ) to SL(2, ℝ)

    • B. Speh, T. N. Venkataramana
    Pages 231-249

  11. Asympotics of Spherical Functions For Large Rank: An Introduction

    • Jacques Faraut
    Pages 251-275
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About this book

This book is an outgrowth of the special term "Harmonic Analysis, Representation Theory, and Integral Geometry," held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn during the summer of 2007. 

The contributions in the volume provide a window into a variety of subjects related to reductive groups:  real and complex analysis on homogeneous spaces, arithmetic aspects of moment geometry, geometry of flag varieties, restriction theory of representations, modern aspects of special functions, multiple Dirichlet series, and unfolding identities in the theory of automorphic forms.

Throughout the work, great emphasis was placed on making the articles accessible to interested newcomers to these fields and graduate students. Representation Theory, Complex Analysis, and Integral Geometry aims to stimulate future research in these areas.

Editors and Affiliations

  • , Institut für Analysis, Leibniz Universität Hannover, Hannover, Germany

    Bernhard Krötz

  • , Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel

    Omer Offen

  • , Department of Mathematics, Ben-Gurion University of the Negev, Be'er Sheva, Israel

    Eitan Sayag

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