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Applications of Green's Functions in Science and Engineering

include the adjoint operator, delta function, the Green's function method, and the eigenfunction method. The second part, which explores;

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Scattering Theory for Automorphic Functions. (AM-87), Volume 87

more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the;

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Fourier Analysis and Its Applications

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level;

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Inequalities for Differential Forms

reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient;

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Hadamard Expansions and Hyperasymptotic Evaluation

The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation;

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London Mathematical Society Lecture Note Series

This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D;

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Cambridge Tracts in Mathematics

Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum;

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Cambridge Tracts in Mathematics

Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum;

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Capacities in Complex Anaylsis

considered here can be obtained as envelopes of measures. In the mn theory, the link between functions and capa- cities is often the Laplace operator;

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Heat Kernels And Spectral Theory

quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami;

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Q-difference Operators, Orthogonal Polynomials and Symmetric Expansions

In this work, we explore ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving;

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Engineering Mathematics

The book is designed to serve as a textbook for the students of engineering. The book spread in fifteen chapters broadly discusses;

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Geometry and Spectra of Compact Riemann Surfaces

of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will;

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Topological Optimization and Optimal Transport

related to the infinity Laplace operator Solution of free boundary problems in the presence of geometric uncertainties Distributed and;

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Exponentially Convergent Algorithms for Abstract Differential Equations

first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple;

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Geometric Analysis

perspective on the study of eigenfunctions and eigenvalues for Laplace-Beltrami operators.;

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Sources of Hyperbolic Geometry

This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the;

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