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＜電子ブック＞
Excursions in Harmonic Analysis, Volume 2 : The February Fourier Talks at the Norbert Wiener Center / edited by Travis D Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 2013.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2013
本文言語	英語
大きさ	XIX, 456 p. 56 illus., 21 illus. in color : online resource
著者標目	Andrews, Travis D editor Balan, Radu editor Benedetto, John J editor Czaja, Wojciech editor Okoudjou, Kasso A editor SpringerLink (Online service)
件　名	LCSH:Fourier analysis LCSH:Signal processing LCSH:Harmonic analysis LCSH:Biomathematics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematics FREE:Fourier Analysis FREE:Signal, Speech and Image Processing FREE:Abstract Harmonic Analysis FREE:Mathematical and Computational Biology FREE:Mathematical and Computational Engineering Applications FREE:Applications of Mathematics
一般注記	Part V Measure Theory -- Absolute Continuity and Singularity of Measures Without Measure Theory -- Visible and Invisible Cantor Sets -- Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density -- Positive Operator-Valued Measures: A General Setting for Frames -- Part VI Filtering -- Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces -- On the Group-Theoretic Structure of Lifted Filter Banks -- Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces -- On the Convergence of Iterative Filtering Empirical Mode Decomposition -- Wavelet Transforms by Nearest Neighbor Lifting -- Part VII Operator Theory -- On the Heat Kernel of a Left Invariant Elliptic Operator -- Mixed-Norm Estimates for the k-Plane Transform -- Representation of Linear Operators by Gabor Multipliers -- Extensions of Berezin-Lieb Inequalities -- Bilinear Calderon-Zygmund Operators -- Weighted Inequalities and Dyadic Harmonic Analysis -- Part VIII Biomathematics -- Enhancement and Recovery in Atomic Force Micosopy Images -- Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group -- Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular -- Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE) -- Fourier Blues: Structural Coloration of Biological Tissues -- A Harmonic Analysis View On Neuroscience Imaging The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I ·         Sampling Theory ·         Remote Sensing ·         Mathematics of Data Processing ·         Applications of Data Processing Volume II ·         Measure Theory ·         Filtering ·         Operator Theory ·         Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics HTTP:URL=https://doi.org/10.1007/978-0-8176-8379-5

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