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Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30

Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics;

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Harmonic Analysis (PMS-43), Volume 43

: singular integral and pseudo-differential operators, the theory of Hardy spaces, Lsup estimates involving oscillatory integrals and Fourier;

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Approximation By Multivariate Singular Integrals

to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented;

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Multi-parameter Singular Integrals. (AM-189), Volume I

the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the;

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Asymptotics and Mellin-Barnes Integrals

Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex;

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Singular Integrals And Related Topics

This book introduces some important progress in the theory of Calderon-Zygmund singular integrals, oscillatory singular integrals, and;

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Integrals of Bessel Functions

Integrals of Bessel Functions concerns definite and indefinite integrals, the evaluation of which is necessary to numerous applied problems;

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Measure Theory and Fine Properties of Functions

roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review;

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Theory of Functions of a Real Variable

theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics, the treatment offers a clear;

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Mathematical Analysis

outline of the essential properties of rational numbers using Dedekind's cut, and the properties of real numbers are established. This foundation;

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Analytic Functions

addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace;

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New Engineering Mathematics Volume - II

including the classical theorems of Green, Gauss and Stoke involving line, surface and volume integrals. Analytic functions and their properties are;

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Differentiability of Six Operators on Nonsmooth Functions and p-Variation

. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to;

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Measure Theory and Fine Properties of Functions, Revised Edition

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure;

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Elliptic Functions

In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay;

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Generalized Associated Legendre Functions And Their Applications

of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the;

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Special Integrals of Gradshteyn and Ryzhik

A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a;

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Special Integrals of Gradshteyn and Ryzhik

A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a;

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Calculus III

Calculus III is the third and final volume of the three-volume calculus sequence by Tunc Geveci. The series is designed for the usual three;

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Calculus II

calculus sequence that the majority of science and engineering majors in the United States are required to take. The distinguishing features;

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Calculus I

calculus sequence that the majority of science and engineering majors in the United States are required to take.The distinguishing features of the;

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Gâteaux Differentiability of Convex Functions and Topology

, and differentiability are stressed throughout. Proofs, many of them new and most of them considerably better that their traditional;

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Convex and Set-Valued Analysis

-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers;

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Mathematical Problems in Shape Optimization and Shape Memory Materials

. In the first part a method of sensitivity calculations for singular elliptic problems is proposed and its correctness as well as some properties;

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Weighted Polynomial Approximation and Numerical Methods for Integral Equations

weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book;

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