On the equiconvergence of the eigenfunction expansion associated with certain 2nd order differential equations
type: Item
instance of: scholarly article
title: On the equiconvergence of the eigenfunction expansion associated with certain 2nd order differential equations
zbMATH Open document ID: 0672.34024
author: J. Das Chaudhuri
author: Anindita Chatterjee
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let f,q be square integrable functions on \([0,+\infty)\). Consider the following boundary value problems: (1) \(-y''(x)=\lambda y(x),\) \(y(0)\cos a+y'(0)\sin a=0\) (2) \(-y''(x)+q(x)y(x)=\lambda y(x),\) \(y(0)\cos a+y'(0)\sin a=0\) where \(\lambda\) is a complex parameter and \(0\leq a<\pi\). The authors prove that if the eigenfunction expansion of f associated with (1) is convergent then so is the eigenfunction expansion of f associated with (2).
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 4099710
zbMATH Keywords: eigenfunction expansion
reviewed by: Abdelkader Boucherif
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4099710