313 citations · 330 across the 4 of their papers we have counts for
4 papers
Analysis of the Brylinski-Kostant model for spherical minimal representations
Dehbia Achab, Jacques Faraut
We revisit with another view point the construction by R. Brylinski and B. Kostant of minimal representations of simple Lie groups. We start from a pair , where is a com…
Hermitian Symmetric Spaces of Tube Type and Multivariate Meixner-Pollaczek Polynomials
Jacques Faraut, Masato Wakayama
Harmonic analysis on Hermitian symmetric spaces of tube type is a natural framework for introducing multivariate Meixner-Pollaczek polynomials. Their main properties are establishe…
Berezin Kernels and Analysis on Makarevich Spaces
J. Faraut, M. Pevzner
Following ideas of van Dijk and Hille we study the link which exists between maximal degenerate representations and Berezin kernels. We consider the conformal group …
Self-adjoint extensions of operators and the teaching of quantum mechanics
Guy Bonneau, Jacques Faraut, Galliano Valent
For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe…