Cover Image
Read Now

Discrete Fourier Analysis

This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis.   The first part is dedicated to topics related to the Fourier transform, including discrete time...

Full description

Bibliographic Details
Main Author: Wong, M. W.
Format: eBook
Language:English
Published: Basel Springer Basel 2011, 2011
Edition:1st ed. 2011
Series:Pseudo-Differential Operators, Theory and Applications
Subjects:
Fourier Analysis
Harmonic Analysis
Partial Differential Equations
Abstract Harmonic Analysis
Numerical Analysis
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • The Finite Fourier Transform
  • Translation-Invariant Linear Operators
  • Circulant Matrices
  • Convolution Operators
  • Fourier Multipliers
  • Eigenvalues and Eigenfunctions
  • The Fast Fourier Transform
  • Time-Frequency Analysis
  • Time-Frequency Localized Bases
  • Wavelet Transforms and Filter Banks
  • Haar Wavelets
  • Daubechies Wavelets
  • The Trace
  • Hilbert Spaces
  • Bounded Linear Operators
  • Self-Adjoint Operators
  • Compact Operators
  • The Spectral Theorem
  • Schatten–von Neumann Classes
  • Fourier Series
  • Fourier Multipliers on S1
  • Pseudo-Differential Operators on S1
  • Pseudo-Differential Operators on Z
  • Bibliography
  • Index

Similar Items