On the Stability of Conditional Bases in $L^2[-\pi,\pi]$

Akihiro NAKAMURA

doi:10.3836/tjm/1249648419

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Home > Journals > Tokyo J. Math. > Volume 32 > Issue 1 > Article

June 2009 On the Stability of Conditional Bases in $L^2[-\pi,\pi]$

Akihiro NAKAMURA

Tokyo J. Math. 32(1): 237-245 (June 2009). DOI: 10.3836/tjm/1249648419

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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.

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Akihiro NAKAMURA. "On the Stability of Conditional Bases in $L^2[-\pi,\pi]$." Tokyo J. Math. 32 (1) 237 - 245, June 2009. https://doi.org/10.3836/tjm/1249648419