Spherical Harmonic Analysis
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Spherical Harmonic Analysis
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Author : Paul F. Fougère
language : en
Publisher:
Release Date : 1965
Spherical Harmonic Analysis written by Paul F. Fougère and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Spherical harmonics categories.
An Example Of The Use Of Spherical Harmonic Analysis
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Author : Herbert Hall Turner
language : en
Publisher:
Release Date : 1912
An Example Of The Use Of Spherical Harmonic Analysis written by Herbert Hall Turner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1912 with categories.
Wavelet Analysis On The Sphere
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Author : Sabrine Arfaoui
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-03-20
Wavelet Analysis On The Sphere written by Sabrine Arfaoui and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Mathematics categories.
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.
An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics
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Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1893
An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Fourier series categories.
Harmonic Analysis And Approximation On The Unit Sphere
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Author : Kunyang Wang
language : en
Publisher:
Release Date : 2000
Harmonic Analysis And Approximation On The Unit Sphere written by Kunyang Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Approximation theory categories.
Spherical Harmonic Analysis Of Satellite Gradiometry
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Author : Reiner Rummel
language : en
Publisher:
Release Date : 1993
Spherical Harmonic Analysis Of Satellite Gradiometry written by Reiner Rummel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Astronautics in geodesy categories.
Approximation Theory And Harmonic Analysis On Spheres And Balls
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Author : Feng Dai
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Approximation Theory And Harmonic Analysis On Spheres And Balls written by Feng Dai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area.
A Panorama Of Harmonic Analysis
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Author : Steven G. Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-07-03
A Panorama Of Harmonic Analysis written by Steven G. Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with categories.
A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the point of view of spaces of homogeneous type. The book culminates with a discussion of wavelets-one of the newest ideas in the subject. A Panorama of Harmonic Analysis is intended for graduate students, advanced undergraduates, mathematicians, and anyone wanting to get a quick overview of the subject of cummutative harmonic analysis. Applications are to mathematical physics, engineering and other parts of hard science. Required background is calculus, set theory, integration theory, and the theory of sequences and series.
Spherical Harmonic Analysis Of Satellite Gradiometry
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Author : Reiner Rummel
language : en
Publisher:
Release Date : 1993
Spherical Harmonic Analysis Of Satellite Gradiometry written by Reiner Rummel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Astronautics in geodesy categories.
Potential Theory In Gravity And Magnetic Applications
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Author : Richard J. Blakely
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-13
Potential Theory In Gravity And Magnetic Applications written by Richard J. Blakely and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-13 with Mathematics categories.
This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.