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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Wavelet Transforms and Localization Operators (Hardcover)
Loot Price: R2,635
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Wavelet Transforms and Localization Operators (Hardcover)
Series: Operator Theory: Advances and Applications, v. 136
Expected to ship within 12 - 17 working days
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The focus of this book is on the Schatten-von Neumann properties
and the product formulas of localization operators defined in terms
of infinite-dimensional and square-integrable representations of
locally compact and Hausdorff groups. Wavelet transforms, which are
the building blocks of localization operators, are also studied in
their own right. Daubechies operators on the Weyl-Heisenberg group,
localization operators on the affine group, and wavelet multipliers
on the Euclidean space are investigated in detail. The study is
carried out in the perspective of pseudo-differential operators,
quantization and signal analysis. Although the emphasis is put on
locally compact and Hausdorff groups, results in the context of
homogeneous spaces are given in order to unify the various
localization operators into a single theory. Several new spectral
results on pseudo-differential operators in the setting of
localization operators are presented for the first time. The book
is accessible to graduate students and mathematicians who have a
basic knowledge of measure theory and functional analysis and wish
to have a fast track to the frontier of research at the interface
of pseudo-differential operators, quantization and signal analysis.
General
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