Short description:

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. Kobayashi?s 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 Sa?d, 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 ?rsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.

Long description:

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. Kobayashi?s 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 Sa?d, 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 ?rsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.

Table of Contents:

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 ---- ----(----, ?) and tridiagonal determinants for local Heun functions (Toshihisa Kubo and Bent ?rsted).- 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 ?rsted and Birgit Speh).- Pseudo-dual pairs and branching of Discrete Series (Bent ?rsted and Jorge A. Vargas).- Integral transformations of hypergeometric functions with several variables (Toshio Oshima).