Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Portraits of frames


Author: Akram Aldroubi
Journal: Proc. Amer. Math. Soc. 123 (1995), 1661-1668
MSC: Primary 46C05; Secondary 42C15
DOI: https://doi.org/10.1090/S0002-9939-1995-1242070-5
MathSciNet review: 1242070
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We introduce two methods for generating frames of a Hilbert space $\mathcal {H}$. The first method uses bounded operators on $\mathcal {H}$. The other method uses bounded linear operators on ${l_2}$ to generate frames of $\mathcal {H}$. We characterize all the mappings that transform frames into other frames. We also show how to construct all frames of a given Hilbert space $\mathcal {H}$, starting from any given one. We illustrate the results by giving some examples from multiresolution and wavelet theory.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46C05, 42C15

Retrieve articles in all journals with MSC: 46C05, 42C15


Additional Information

Keywords: Frames, frame-preserving mappings, affine frames, multiresolution, wavelets
Article copyright: © Copyright 1995 American Mathematical Society