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Start Over Author "Debnath, Lokenath" Search Limiters Full Text Journal fractional calculus & applied analysis
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1. Fractional wavelet frames in <italic>L</italic>2(ℝ).

Author

Shah, Firdous A. and Debnath, Lokenath

Subjects
*FOURIER transforms, *SIGNAL processing, *QUANTUM mechanics, *PATTERN recognition systems, *CONTINUOUS functions
Abstract

The objective of this paper is to construct fractional wavelet frames in L2(ℝ). A necessary condition and four sufficient conditions for fractional wavelet frames are given by virtue of fractional Fourier transform. The proposed inequalities generalize all the classical wavelet inequalities when θ = π/2. An example is presented at the end. [ABSTRACT FROM AUTHOR]

Published
2018
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