From fourier analysis to wavelets
Publication details: Springer, 2015. Switzerland:Description: 210 p,; ill.; 24 cmISBN:- 9783319220741
- 515.2433 GOM
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IIT Gandhinagar | 515.2433 GOM (Browse shelf(Opens below)) | Available | 024095 |
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515.2433 DUI Fourier integral operators | 515.2433 FRA Introduction to wavelets through linear algebra | 515.2433 FRA Introduction to wavelets through linear algebra | 515.2433 GOM From fourier analysis to wavelets | 515.2433 GRO Geometric applications of fourier series and spherical harmonics, Vol. 61 | 515.2433 IOR Fourier analysis and partial differential equations | 515.2433 KRA Panorama of harmonic analysis |
Includes bibliographical references.
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA,
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