ISBN: 9781461272670 - methods of applied fourier analysis (applied and numerical harmonic analysis) (4 Ergebnisse)

Zustand: New. In English.

Zustand: New. Series: Applied and Numerical Harmonic Analysis. Num Pages: 329 pages, biography. BIC Classification: PBF; PBK; PBW; UY. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 18. Weight in Grams: 528. . 2012. Softcover reprint of the original 1st ed. 1998. paperback. . . . . Books ship from the US and Ireland. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1 Periodic Functions.- 1.1 The Characters.- 1.2 Some Tools of the Trade.- 1.3 Fourier Series: Lp Theory.- 1.4 Fourier Series: L2 Theory.- 1.5 Fourier Analysis of Measures.- 1.6 Smoothness and Decay of Fourier Series.- 1.7 Translation Invariant Operators.- 1.8 Problems.- 2 Hardy Spaces.- 2.1 Hardy Spaces and Invariant Subspaces.- 2.2 Boundary Values of Harmonic Functions.- 2.3 Hardy Spaces and Analytic Functions.- 2.4 The Structure of Inner Functions.- 2.5 The H1 Case.- 2.6 The Szegö-Kolmogorov Theorem.- 2.7 Problems.- 3 Prediction Theory.- 3.1 Introduction to Stationary Random Processes.- 3.2 Examples of Stationary Processes.- 3.3 The Reproducing Kernel.- 3.4 Spectral Estimation and Prediction.- 3.5 Problems.- 4 Discrete Systems and Control Theory.- 4.1 Introduction to System Theory.- 4.2 Translation Invariant Operators.- 4.3 H Control Theory.- 4.4 The Nehari Problem.- 4.5 Commutant Lifting and Interpolation.- 4.6 Proof of the Commutant Lifting Theorem.- 4.7 Problems.- 5 Harmonic Analysis in Euclidean Space.- 5.1 Function Spaces on Rn.- 5.2 The Fourier Transform on L1.- 5.3 Convolution and Approximation.- 5.4 The Fourier Transform: L2 Theory.- 5.5 Fourier Transform of Measures.- 5.6 Bochner's Theorem.- 5.7 Problems.- 6 Distributions.- 6.1 General Distributions.- 6.2 Two Theorems on Distributions.- 6.3 Schwartz Space.- 6.4 Tempered Distributions.- 6.5 Sobolev Spaces.- 6.6 Problems.- 7 Functions with Restricted Transforms.- 7.1 General Definitions and the Sampling Formula.- 7.2 The Paley-Wiener Theorem.- 7.3 Sampling Band-Limited Functions.- 7.4 Band-Limited Functions and Information.- 7.5 Problems.- 8 Phase Space.- 8.1 The Uncertainty Principle.- 8.2 The Ambiguity Function.- 8.3 Phase Space and Orthonormal Bases.- 8.4 The Zak Transform and the Wilson Basis.- 8.5 AnApproximation Theorem.- 8.6 Problems.- 9 Wavelet Analysis.- 9.1 Multiresolution Approximations.- 9.2 Wavelet Bases.- 9.3 Examples.- 9.4 Compactly Supported Wavelets.- 9.5 Compactly Supported Wavelets II.- 9.6 Problems.- A The Discrete Fourier Transform.- B The Hermite Functions. …

Taschenbuch. Zustand: Neu. Methods of Applied Fourier Analysis | Jayakumar Ramanathan | Taschenbuch | Applied and Numerical Harmonic Analysis | xii | Englisch | 2012 | Birkhäuser | EAN 9781461272670 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …