Some remarks on the theory of spherical functions on symmetric Riemannian manifolds

DOI10.1090/trans2/021/07zbMath0195.42302OpenAlexW4231752438MaRDI QIDQ5591779

F. A. Berezin, Israel M. Gel'fand

Publication date: 1962

Published in: American Mathematical Society Translations: Series 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/021/07

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

Related Items

A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\) ⋮ Bessel functions and the Euclidean motion group ⋮ Macdonald's evaluation conjectures and difference Fourier transform ⋮ Some examples of the algebra of flows ⋮ A Set of Harmonic Functions for the Group SU(3) ⋮ Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ) ⋮ Unnamed Item ⋮ Laplace-Beltrami operator on symmetric space \(X \equiv \text{SO}_{0}(2, 3)/\text{SO}(2) \times \text{SO}(3)\) of rank 2 and the related 2-body one dimensional quantum systems ⋮ Derivatives of orbital function and an extension of Berezin-Gel'fand's theorem ⋮ Unitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functions ⋮ Random walks on symmetric spaces and inequalities for matrix spectra ⋮ Multi-operator colligations and multivariate characteristic functions ⋮ Eigenvalues, invariant factors, highest weights, and Schubert calculus ⋮ Calcul symbolique dans le centre d'une algèbre de groupe