Selected Areas in Cryptography Revised Papers of the 8th Annual International Workshop, Sac 2001 Toronto, Ontario, Canada, August 16-17, 2001

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.Vaudenay, S. is the author of 'Selected Areas in Cryptography Revised Papers of the 8th Annual International Workshop, Sac 2001 Toronto, Ontario, Canada, August 16-17, 2001' with ISBN 9783540430667 and ISBN 3540430660.