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Titlebook: Wavelet Transforms and Localization Operators; M. W. Wong Book 2002 Springer Basel AG 2002 functional analysis.harmonic analysis.mathemati

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Wavelet Multipliers,ere . is the characteristic function of the ball with center at the origin and radius .,.and the convergence of (.). to Fu is understood to be in..(ℝ.. It is a consequence of Plancherel’s theorem that .. : ..(ℝ. → ..(ℝ. is a bounded linear operator.
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Book 20029and 2000. Preliminary versions of the book have been used for various topics courses in analysis for graduate students at York University. We study in this book wavelet transforms and localization operators in the context of infinite-dimensional and square-integrable representations of locally comp
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Two-Wavelet Theory,r to obtain a lower bound for the norm ‖..‖.. of ..: . → .,we need the formula (9.1), which is an analogue of the resolution of the identity formula (6.3) for two admissible wavelets for an irreducible and square-integrable representation π: . of . on .
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A Sampling Theorem,logue of Shannon’s sampling theorem given in Section 2.4 of the book [7] by Blatter and Section 2.1 of the book [13] by Daubechies among others. The origin of the theorem is rooted in the papers [79, 80] by Shannon
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A Sampling Theorem,logue of Shannon’s sampling theorem given in Section 2.4 of the book [7] by Blatter and Section 2.1 of the book [13] by Daubechies among others. The origin of the theorem is rooted in the papers [79, 80] by Shannon
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