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E-book: Symmetry in Geometry and Analysis, Volume 2: Festschrift in Honor of Toshiyuki Kobayashi

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  • Format: PDF+DRM
  • Series: Progress in Mathematics 358
  • Pub. Date: 10-Feb-2025
  • Publisher: Springer Verlag, Singapore
  • Language: eng
  • ISBN-13: 9789819776627
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Symmetry in Geometry and Analysis, Volume 2: Festschrift in Honor of Toshiyuki KobayashiLarger Image
  • Format: PDF+DRM
  • Series: Progress in Mathematics 358
  • Pub. Date: 10-Feb-2025
  • Publisher: Springer Verlag, Singapore
  • Language: eng
  • ISBN-13: 9789819776627
Other books in subject:

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Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashis pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades.









This second volume of the Festschrift contains original articles on analytic methods in representation theory of reductive Lie groups and related topics.

Contributions are by Salem Ben Saïd, Valentina Casarino, Paolo Ciatti, Jean-Louis Clerc, Jan Frahm, Joachim Hilgert, Toshihisa Kubo, Khalid Koufany, Quentin Labriet, Karl-Hermann Neeb, Yury Neretin, Gestur Ólafsson, Bent Ørsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.
The source operator method: an overview (Salem Ben Said, Jean-Louis
Clerc  and Khalid Koufany).- Some mixed norm bounds for the spectral
projections of the Heisenberg sublaplacian (Valentina Casarino and Paolo
Ciatti).- Four variations on the Rankin-Cohen brackets (Jean-Louis Clerc).-
Restricting holomorphic discrete series representations to a compact dual
pair (Jan Frahm and Quentin Labriet).- Nets of standard subspaces on
non-compactly causal symmetric spaces (Jan Frahm, Karl-Hermann Neeb, and
Gestur Ólafsson).- Heisenberg parabolically induced representations of
Hermitian Lie groups, Part II: Next-to-minimal representations and branching
rules (Jan Frahm, Clemens Weiske and Genkai Zhang).- Quantum-Classical
Correspondences for Locally Symmetric Spaces (Joachim Hilgert).-
Classification of K-type formulas for the Heisenberg ultrahyperbolic operator
s for 𝑺 𝑳(𝟑, ) and tridiagonal determinants for
local Heun functions (Toshihisa Kubo and Bent Ørsted).- Gauss--Berezin
integral operators, spinors over orthosymplectic supergroups, and Lagrangian
super-Grassmannians (Yury A. Neretin).- Towards Gan-Gross-Prasad type
conjecture for discrete series representations of symmetric spaces (Bent
Ørsted and Birgit Speh).- Pseudo-dual pairs and branching of Discrete Series
(Bent Ørsted and Jorge A. Vargas).- Integral transformations of
hypergeometric functions with several variables (Toshio Oshima).
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