Titlebook: Wavelets, Multiscale Systems and Hypercomplex Analysis; Daniel Alpay,Annemarie Luger,Harald Woracek Book 2006 Birkhäuser Basel 2006 Cliffo

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Birkhäuser Basel 2006

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Wavelets, Multiscale Systems and Hypercomplex Analysis978-3-7643-7588-1Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Noncommutative Trigonometry,A unified account of a noncommutative operator trigonometry originated in 1966 by this author and its further developments and applications to date will be given within a format of a historical trace. Applications to wavelet and multiscale theories are included. A viewpoint toward possible future enlargement will be fostered.

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Stationary Random Fields over Graphs and Related Structures,The concept of a stationary random field can be extended from the classical situation to a more general set up by letting the time parameter run through groups, homogeneous spaces or hypergroups. In the present exposition the author is concerned with spectral representations for stationary random fields over these algebraic-topological structures.

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Matrix Representations and Numerical Computations of Wavelet Multipliers,Weyl-Heisenberg frames are used to obtain matrix representations of wavelet multipliers. Simple test cases are used to illustrate the numerical computations of wavelet multipliers by means of the corresponding truncated matrices.

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Matrix Representations and Numerical Computations of Wavelet Multipliers,Weyl-Heisenberg frames are used to obtain matrix representations of wavelet multipliers. Simple test cases are used to illustrate the numerical computations of wavelet multipliers by means of the corresponding truncated matrices.

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Daniel Alpay,Annemarie Luger,Harald WoracekFirst-rate contributors, most articles have been written on invitation.Unique collection of material, particularly relating Clifford analysis and the theory of wavelets

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Clifford Algebra-valued Admissible Wavelets Associated to More than 2-dimensional Euclidean Group wions. We give an explicit characterization of the admissibility condition in terms of the Fourier transform, study the properties of this kind of wavelet transform, also give a family of admissible wavelets.