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catalog alternative "Wavelet transforms & their applications".
catalog contributor b12800206.
catalog created "c2002.".
catalog date "2002".
catalog date "c2002.".
catalog dateCopyrighted "c2002.".
catalog description "Ch. 1. Brief Historical Introduction -- Fourier Series and Fourier Transforms -- Gabor Transforms -- The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- Wavelet Transforms -- Wavelet Bases and Multiresolution Analysis -- Applications of Wavelet Transforms -- Ch. 2. Hilbert Spaces and Orthonormal Systems -- Normed Spaces -- The L[superscript p] Spaces -- Generalized Functions with Examples -- Definition and Examples of an Inner Product Space -- Norm in an Inner Product Space -- Definition and Examples of a Hilbert Space -- Strong and Weak Convergences -- Orthogonal and Orthonormal Systems -- Properties of Orthonormal Systems -- Trigonometric Fourier Series -- Orthogonal Complements and the Projection Theorem -- Linear Funtionals and the Riesz Representation Theorem -- Separable Hilbert Spaces -- Linear Operators on Hilbert Spaces -- Eigenvalues and Eigenvectors of an Operator -- Ch. 3. Fourier Transforms and Their Applications -- ".
catalog description "Fourier Transforms in L[superscript 1][Riemann integral] -- Basic Properties of Fourier Transforms -- Fourier Transforms in L[superscript 2][Riemann integral] -- Poisson's Summation Formula -- The Shannon Sampling Theorem and Gibbs's Phenomenon -- Heisenberg's Uncertainty Principle -- Applications of Fourier Transforms in Mathematical Statistics -- Applications of Fourier Transforms to Ordinary Differential Equations -- Solutions of Integral Equations -- Solutions of Partial Differential Equations -- Applications of Multiple Fourier Transforms to Partial Differential Equations -- Construction of Green's Functions by the Fourier Transform Method -- Ch. 4. The Gabor Transform and Time-Frequency Signal Analysis -- Classification of Signals and the Joint Time-Frequency Analysis of Signals -- Definition and Examples of the Gabor Transforms -- Basic Properties of Gabor Transforms -- Frames and Frame Operators -- Discrete Gabor Transforms and the Gabor Representation Problem -- ".
catalog description "Includes bibliographical references (p. [539]-553) and index.".
catalog description "Properties of Scaling Functions and Orthonormal Wavelet Bases -- Construction of Orthonormal Wavelets -- Daubechies' Wavelets and Algorithms -- Discrete Wavelet Transforms and Mallat's Pyramid Algorithm -- Ch. 8. Newland's Harmonic Wavelets -- Harmonic Wavelets -- Properties of Harmonic Scaling Functions -- Wavelet Expansions and Parseval's Formula -- Ch. 9. Wavelet Transform Analysis of Turbulence -- Fourier Transforms in Turbulence and the Navier-Stokes Equations -- Fractals, Multifractals, and Singularities in Turbulence -- Farge's Wavelet Transform Analysis of Turbulence -- Adaptive Wavelet Method for Analysis of Turbulent Flows -- Meneveau's Wavelet Analysis of Turbulence.".
catalog description "The Zak Transform and Time-Frequency Signal Analysis -- Basic Properties of Zak Transforms -- Applications of Zak Transforms and the Balian-Low Theorem -- Ch. 5. The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- Definitions and Examples of the Wigner-Ville Distribution -- Basic Properties of the Wigner-Ville Distribution -- The Wigner-Ville Distribution of Analytic Signals and Band-Limited Signals -- Definitions and Examples of the Woodward Ambiguity Functions -- Basic Properties of Ambiguity Functions -- The Ambiguity Transformation and Its Properties -- Discrete Wigner-Ville Distributions -- Cohen's Class of Time-Frequency Distributions -- Ch. 6. Wavelet Transforms and Basic Properties -- Continuous Wavelet Transforms and Examples -- Basic Properties of Wavelet Transforms -- The Discrete Wavelet Transforms -- Orthonormal Wavelets -- Ch. 7. Multiresolution Analysis and Construction of Wavelets -- Definition of Multiresolution Analysis and Examples -- ".
catalog extent "xv, 565 p. ;".
catalog identifier "0817642048 (alk. paper)".
catalog issued "2002".
catalog issued "c2002.".
catalog language "eng".
catalog publisher "Boston : Birkhäuser,".
catalog subject "621.382/2 21".
catalog subject "QA403.3 .D43 2002".
catalog subject "Signal processing Mathematics.".
catalog subject "Wavelets (Mathematics)".
catalog tableOfContents "Ch. 1. Brief Historical Introduction -- Fourier Series and Fourier Transforms -- Gabor Transforms -- The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- Wavelet Transforms -- Wavelet Bases and Multiresolution Analysis -- Applications of Wavelet Transforms -- Ch. 2. Hilbert Spaces and Orthonormal Systems -- Normed Spaces -- The L[superscript p] Spaces -- Generalized Functions with Examples -- Definition and Examples of an Inner Product Space -- Norm in an Inner Product Space -- Definition and Examples of a Hilbert Space -- Strong and Weak Convergences -- Orthogonal and Orthonormal Systems -- Properties of Orthonormal Systems -- Trigonometric Fourier Series -- Orthogonal Complements and the Projection Theorem -- Linear Funtionals and the Riesz Representation Theorem -- Separable Hilbert Spaces -- Linear Operators on Hilbert Spaces -- Eigenvalues and Eigenvectors of an Operator -- Ch. 3. Fourier Transforms and Their Applications -- ".
catalog tableOfContents "Fourier Transforms in L[superscript 1][Riemann integral] -- Basic Properties of Fourier Transforms -- Fourier Transforms in L[superscript 2][Riemann integral] -- Poisson's Summation Formula -- The Shannon Sampling Theorem and Gibbs's Phenomenon -- Heisenberg's Uncertainty Principle -- Applications of Fourier Transforms in Mathematical Statistics -- Applications of Fourier Transforms to Ordinary Differential Equations -- Solutions of Integral Equations -- Solutions of Partial Differential Equations -- Applications of Multiple Fourier Transforms to Partial Differential Equations -- Construction of Green's Functions by the Fourier Transform Method -- Ch. 4. The Gabor Transform and Time-Frequency Signal Analysis -- Classification of Signals and the Joint Time-Frequency Analysis of Signals -- Definition and Examples of the Gabor Transforms -- Basic Properties of Gabor Transforms -- Frames and Frame Operators -- Discrete Gabor Transforms and the Gabor Representation Problem -- ".
catalog tableOfContents "Properties of Scaling Functions and Orthonormal Wavelet Bases -- Construction of Orthonormal Wavelets -- Daubechies' Wavelets and Algorithms -- Discrete Wavelet Transforms and Mallat's Pyramid Algorithm -- Ch. 8. Newland's Harmonic Wavelets -- Harmonic Wavelets -- Properties of Harmonic Scaling Functions -- Wavelet Expansions and Parseval's Formula -- Ch. 9. Wavelet Transform Analysis of Turbulence -- Fourier Transforms in Turbulence and the Navier-Stokes Equations -- Fractals, Multifractals, and Singularities in Turbulence -- Farge's Wavelet Transform Analysis of Turbulence -- Adaptive Wavelet Method for Analysis of Turbulent Flows -- Meneveau's Wavelet Analysis of Turbulence.".
catalog tableOfContents "The Zak Transform and Time-Frequency Signal Analysis -- Basic Properties of Zak Transforms -- Applications of Zak Transforms and the Balian-Low Theorem -- Ch. 5. The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- Definitions and Examples of the Wigner-Ville Distribution -- Basic Properties of the Wigner-Ville Distribution -- The Wigner-Ville Distribution of Analytic Signals and Band-Limited Signals -- Definitions and Examples of the Woodward Ambiguity Functions -- Basic Properties of Ambiguity Functions -- The Ambiguity Transformation and Its Properties -- Discrete Wigner-Ville Distributions -- Cohen's Class of Time-Frequency Distributions -- Ch. 6. Wavelet Transforms and Basic Properties -- Continuous Wavelet Transforms and Examples -- Basic Properties of Wavelet Transforms -- The Discrete Wavelet Transforms -- Orthonormal Wavelets -- Ch. 7. Multiresolution Analysis and Construction of Wavelets -- Definition of Multiresolution Analysis and Examples -- ".
catalog title "Wavelet transforms & their applications".
catalog title "Wavelet transforms and their applications / Lokenath Debnath.".
catalog type "text".