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Birkhäuser - Birkhäuser Mathematics | Representation Theory, Complex Analysis, and Integral Geometry

Representation Theory, Complex Analysis, and Integral Geometry

Krötz, Bernhard, Offen, Omer, Sayag, Eitan (Eds.)

2012, X, 275p. 23 illus..

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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

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.

Contributors: J. Bernstein, G. Chinta, D. Ciubotaru, J. Faraut, S. Gindikin, J. Jorgenson, J. Kramer, B. Krötz, Y.A. Neretin, K. Nishiyama, O. Offen, H. Schlichtkrull, M.J. Slupinski, R.J. Stanton, B. Speh, P.E. Trapa, T.N.Venkataramana

Content Level » Research

Keywords » Helgason conjecture - Rankin–Selberg - Stein–Sahi complementary series - Verma modules - basic Lie algebras - geometry of flag varieties - moment maps - multiple Dirichlet series - prehomogeneous vector space - representation theory, complex analysis, integral geometry - symmetric spaces

Related subjects » Birkhäuser Mathematics

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