Riesz summability of multiple Hermite series in \(L^ p\) spaces
type: Item
instance of: scholarly article
title: Riesz summability of multiple Hermite series in \(L^ p\) spaces
zbMATH Open document ID: 0824.42019
DOI: 10.1007/BF02572353
published in: Mathematische Zeitschrift
publication date: 1995-11-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174761
review text: The Riesz summability of order \(\alpha\) for the multiple Hermite series in the space \(L^ p\) is proved under sharp condition on the parameter \(\alpha\) and for all \(p\) satisfying \(| 1/p- 1/2|\geq 1/n\), \(n\geq 2\).
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 784103
zbMATH Keywords: Riesz summability
zbMATH Keywords: multiple Hermite series
author: Georgi E. Karadzhov
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
cites work: Q4847885
cites work: The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
cites work: Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds
cites work: A note on spherical summation multipliers
cites work: The spectral function of an elliptic operator
cites work: Q4289167
cites work: A restriction theorem for the Fourier transform
cites work: Q4693724
cites work: Harmonic analysis as spectral theory of Laplacians
cites work: Binomial-Weighted Orthogonal Polynomials
OpenAlex ID: W2047768429
description: scientific article; zbMATH DE number 784103