Wavelet-type frames and wavelet-type bases | Zendy

M. M. Shamooshaky | Zendy

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Wavelet-type frames and wavelet-type bases

Author(s) -

M. M. Shamooshaky

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3237

Subject(s) - mathematics , wavelet , discrete wavelet transform , hilbert space , type (biology) , pure mathematics , basis (linear algebra) , frame (networking) , algebra over a field , second generation wavelet transform , mathematical analysis , discrete mathematics , wavelet transform , artificial intelligence , computer science , geometry , ecology , telecommunications , biology

The concepts of basis and frame are studied in the classical literature of functional analysis, Fourier analysis, and wavelet theory in a wide range. In this paper, we consider an operator-theoretic approach to discrete frame theory on a separable Hilbert space. For this purpose, we define a special type of frames and bases, called wavelet-type frames and wavelet-type bases, obtained by acting with a family of bounded linear operators on some vectors, and then investigate the elementary properties of these concepts

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