On the Stability of Conditional Bases in $L^2[-\pi,\pi]$
Akihiro NAKAMURA
Source: Tokyo J. of Math.
Volume 32, Number 1
(2009), 237-245.
Abstract
We consider the conditions for the multiplication by a weight $w(t)$ that make the system $\{w(t)e^{i\lambda_{n}t}\}$ a conditional basis for $L^2[-\pi,\pi]$.
Furthermore, some stability result is investigated on such bases.
Primary Subjects: 42C15
Secondary Subjects: 42C30, 42C99
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1249648419
Digital Object Identifier: doi:10.3836/tjm/1249648419
Zentralblatt MATH identifier:
05604245
Mathematical Reviews number (MathSciNet):
MR2541158
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