Representation Theory and Harmonic Analysis on Symmetric Spaces

Representation Theory and Harmonic Analysis on Symmetric Spaces

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This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Olafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia.

The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.
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Product details

  • Paperback | 303 pages
  • 178 x 254mm
  • Providence, United States
  • English
  • 1470440709
  • 9781470440701

Table of contents

A. Alldridge, S. Sahi, and H. Salmasian, Schur $Q$-functions and the Capelli eigenvalue problem for the Lie superalgebra $\mathfrak{q}(n)$
I. Cho and P. E. T. Jorgensen, Analysis of free products of the general linear groups $GL_2(\mathbb{Q}_p)$ and Hecke algebras $\mathcal{H}(GL_2(\mathbb{Q}_p))$ over primes $p$
J. G. Christensen, Atomic decompositions of mixed norm Bergman spaces on tube type domains
P. Clare, C*-algebraic normalization and Godement-Jacquet factors
M. Dawson and R. Quiroga-Barranco, Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains
R. W. Donley, Jr. and W. G. Kim, A rational theory of Clebsch-Gordan coefficients
R. Estrada and B. Rubin, Radon-John transforms and spherical harmonics
S. Helgason, Spherical functions on Riemannian symmetric spaces
M. Hunziker, M. R. Sepanski, and R. J. Stanke, Schrodinger-type equations and unitary highest weight representations of the metaplectic group
T. Kobayashi, Residue formula for regular symmetry breaking operators
K.-H. Neeb, On the geometry of standard subspaces
M. J. Slupinski and R. J. Stanton, Pure spinors and a construction of the $E_*$-Lie algebras
J. A. Wolf, Representations on partially holomorphic cohomology spaces, revisited.
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About Jens Gerlach Christensen

Jens Gerlach Christensen, Colgate University, Hamilton, NY.

Susanna Dann, Vienna University of Technology, Wien, Austria.

Matthew Dawson, CIMAT, Merida, Mexico.
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