Methods of applied Fourier analysis

zbMath0926.94004MaRDI QIDQ1265644

Jayakumar Ramanathan

Publication date: 21 September 1998

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

predictionSobolev spacesFourier analysisfast Fourier transformPaley-Wiener theoremwaveletHardy spacesharmonic analysisspectral theoryFourier seriessignal processingSchwartz distributionmultiresolution approximationdiscrete control theoryHeisenberg uncertainty principlecommutant lifting theoremNehari's theoremphase-frequency analysiscommutative Fourier analysisdiscrete stationary stochastic processesinner and outer functionsSzegő-Kolmogorov theorem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Numerical methods for discrete and fast Fourier transforms (65T50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Prediction theory (aspects of stochastic processes) (60G25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory (94-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory (93-01)

Related Items (5)

The Gaussian core model in high dimensions ⋮ Wavelet transformation induced multi-time scaling (WATMUS) model for coupled transient electro-magnetic and structural dynamics finite element analysis ⋮ Approximation orders of shift-invariant subspaces of \(W_{2}^{s}(\mathbb R^d)\) ⋮ Thoughts on Numerical and Conceptual Harmonic Analysis ⋮ Space-frequency analysis in higher dimensions and applications

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