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Geometric Applications of Fourier Series and Spherical Harmonics

the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory;

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Geometric Applications of Fourier Series and Spherical Harmonics

the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

multiple Fourier series and number theory. The book first presents four summability methods used in studying multiple Fourier series;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

multiple Fourier series and number theory. The book first presents four summability methods used in studying multiple Fourier series;

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A Panorama of Harmonic Analysis

Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean;

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Analysis on h Harmonics and Dunkl Transforms

This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and;

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Distributions, Fourier Transforms And Some Of Their Applications To Physics

of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and;

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A Panorama of Harmonic Analysis

both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical;

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Fourier Analysis

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new;

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Fourier Analysis

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new;

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Spherical Geometry and Its Applications

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The;

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Spherical Geometry and Its Applications

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The;

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A Primer on Fourier Analysis for the Geosciences

Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked;

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A Primer on Fourier Analysis for the Geosciences

Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked;

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Spherical Harmonics In P Dimensions

The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and;

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Analysis On Lie Groups

invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions;

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Fourier Acoustics

Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier;

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Mathematical Methods for Optical Physics and Engineering

only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the;

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Integral Expansions Related to Mehler-Fock Type Transforms

An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler;

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Integral Expansions Related to Mehler-Fock Type Transforms

An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler;

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Harmonic Generation Effects Propagation and Control

. The appendices are devoted to Fourier analysis, pertinent to harmonic analysis, and solutions to the problems included throughout the book.;

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Harmonic Generation Effects Propagation and Control

. The appendices are devoted to Fourier analysis, pertinent to harmonic analysis, and solutions to the problems included throughout the book.;

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Partial Differential Equations of Mathematical Physics

includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems;

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Fourier Series And Optical Transform Techniques In Contemporary Optics

to anyone seeking an understanding of Fourier series and Fourier transforms of one--and two--dimensional structures.;

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From Euclidean to Hilbert Spaces - Introduction to Functional Analysis and its Applications

through the Fourier series and finishing with the use of the Fourier transform to solve differential equations. The geometric structure;

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Fourier Series, Transforms, and Boundary Value Problems

. Multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains are followed by the special functions of Bessel and Legendre;

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The Theory of Spherical and Ellipsoidal Harmonics

integral. This is a highly informative book that will be of value to anyone with an interest in spherical and ellipsoidal harmonics.;

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