\(H^ 1\) Bessel expansions
type: Item
instance of: scholarly article
title: \(H^ 1\) Bessel expansions
zbMATH Open document ID: 0833.34080
author: Allan M. Krall
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-04-04T00:00:00Z
review text: The selfadjoint differential equation \(-(xy')'+ (n^2/x)y= \lambda xy\) and its solutions are examined in a Sobolev space \(H'\) and it is proved that the Bessel operator remains selfadjoint and its spectral resolution remains the same.
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 740385
zbMATH Keywords: selfadjoint differential equation
zbMATH Keywords: Sobolev space
zbMATH Keywords: Bessel operator
zbMATH Keywords: spectral resolution
reviewed by: S. K. Chatterjea
MaRDI profile type: Publication
Recommended article: Q3814023
Recommended article: Q3791458
Recommended article: Bessel-type asymptotic expansions via the Riemann–Hilbert approach
Recommended article: Expansion and asymptotic in terms of basic Bessel functions
Recommended article: Q4298808
Recommended article: Expansions of multivariable Bessel functions
Recommended article: Bessel series in the space \(H_1(D)\)
Recommended article: Some expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functions
Recommended article: Expansions of analytic functions in products of Bessel functions
Recommended article: Q4233637
description: scientific article; zbMATH DE number 740385