Wavelet Analysis on the Sphere PDF Download
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Author: Sabrine Arfaoui
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311048188X
Category : Mathematics
Languages : en
Pages : 156
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Book Description
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Author: Sabrine Arfaoui
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311048188X
Category : Mathematics
Languages : en
Pages : 156
Get Book Here
Book Description
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Author: Sabrine Arfaoui
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110481243
Category : Mathematics
Languages : en
Pages : 186
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Book Description
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Author: Roland Klees
Publisher: Springer Science & Business Media
ISBN: 9783540669517
Category : Science
Languages : en
Pages : 272
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Book Description
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.
Author: Roland Klees
Publisher: Springer
ISBN: 9783662168684
Category : Science
Languages : en
Pages : 250
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Book Description
This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.
Author: Michael Hayn
Publisher:
ISBN:
Category :
Languages : en
Pages : 95
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Book Description
Author: Khalifa Trimeche
Publisher: Routledge
ISBN: 1351445782
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now
Author: Wolfgang Keller
Publisher: Walter de Gruyter
ISBN: 3110198185
Category : Science
Languages : en
Pages : 290
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Book Description
For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented. The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level.
Author: Yizhi Sun
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Jean-Pierre Antoine
Publisher: Cambridge University Press
ISBN: 1139453149
Category : Technology & Engineering
Languages : en
Pages : 478
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Book Description
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.
Author: Tao Qian
Publisher: Springer Science & Business Media
ISBN: 376437778X
Category : Mathematics
Languages : en
Pages : 567
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Book Description
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.
