Operators of Laplace transform type and a new class of hypergeometric coefficients
type: Item
instance of: scholarly article
title: Operators of Laplace transform type and a new class of hypergeometric coefficients
author: Stuart Bond
author: Ali Taheri
published in: Advances in Operator Theory
publication date: 2018-10-02T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.aot/1532656922
full work available at URL: AOT-Hypergeometric TMRG 11 07 2018.pdf
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 6946452
zbMATH Keywords: Schwartz kernel
zbMATH Keywords: operator of Laplace transform type
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: hypergeometric function
zbMATH Keywords: Maclaurin spectral function
zbMATH Keywords: symmetric space
MaRDI profile type: Publication
OpenAlex ID: W2883891817
cites work: Q5558293
cites work: Q4146776
cites work: On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces
cites work: On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\)
cites work: A Spectral Identity on Jacobi Polynomials and its Analytic Implications
cites work: Analysis and Geometry of Markov Diffusion Operators
cites work: Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
cites work: Exponential polynomials
cites work: Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
cites work: Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
cites work: A formulation of the Jacobi coefficients \(c^l_j(\alpha, \beta)\) via Bell polynomials
cites work: Semigroup asymptotics, the Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian
cites work: Sharp interpolation inequalities on the sphere: new methods and consequences
cites work: Q4039884
cites work: Q5820721
cites work: Eigenspaces of the Laplacian ; integral representations and irreducibility
cites work: Q3897665
cites work: Q5659894
cites work: A new proof of a Paley-Wiener type theorem for the Jacobi transform
cites work: Q4764045
cites work: Curvature and the eigenvalues of the Laplacian
cites work: Extremals of determinants of Laplacians
cites work: Heat invariants of Riemannian manifolds
cites work: Determinants of Laplacians
cites work: Q5542418
cites work: Function Spaces and Partial Differential Equations
cites work: Q5559954
cites work: Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
cites work: Q5682518
Wikidata QID: Q129464738
DOI: 10.15352/AOT.1804-1356
Recommended article: Q3385345
Recommended article: Q3351950
Recommended article: Laplace transforms and generators of semigroups of operators
Recommended article: Q4360848
Recommended article: Laplace transforms of hyperfunctions and their applications
Recommended article: Spectral multipliers of Laplace transform type for the Laguerre operator
Recommended article: New Laplace transforms of Kummer's confluent hypergeometric functions
Recommended article: Multipliers of Laplace transform type for Laguerre and Hermite expansions
Recommended article: Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms
Recommended article: NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION2F2
description: scientific article; zbMATH DE number 6946452