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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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Ellipsoidal Harmonics

, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal bi-harmonic functions, the theory;

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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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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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Partial Differential Equations of Mathematical Physics

covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary;

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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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Harmonic Function Theory

, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique;

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Wavelet Analysis on the Sphere

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and;

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New Theory and Design of Ellipsoidal Heads for Pressure Vessels

design of ellipsoidal heads. Compared to other methods in current codes and standards based on elastic or perfectly plastic theory, the new;

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Introduction to the Fast Multipole Method

Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method. It;

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Introduction to the Fast Multipole Method

Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method. It;

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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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Mathematics For Quantum Mechanics

. Emphasizing the unity of a variety of different techniques, it is enduringly relevant to many physical systems outside the domain of quantum theory;

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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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Physics and Chemistry of the Fullerenes

The discovery of C60 and C70, icosahedral spherical and ellipsoidal carbon species in September 1985, followed by their successful;

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Mathematical Methods for Optical Physics and Engineering

division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong;

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Shallow Water Waves on the Rotating Earth

observations in the atmosphere and ocean and also provide alternatives to the Spherical Harmonics basis of global-scale spectral numerical models.;

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Physical Mathematics

functions, and spherical harmonics, the book explains topics such as the singular value decomposition, Lie algebras and group theory, tensors and;

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Spherical Sampling

This book presents, in a consistent and unified overview, results and developments in the field of todays spherical sampling, particularly;

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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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Fourier Series in Several Variables with Applications to Partial Differential Equations

equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between;

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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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The Structure of Spherical Buildings

This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians;

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Codes on Euclidean Spheres

, combinatorial theory, and - of course - to algebraic coding theory. The connections to physics occur within areas like crystallography and nuclear;

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