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Boundary Properties of the Differentiated Poisson Integral

Mathematical Analysis

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Description

This specialized monograph provides a deep investigation into the boundary properties of the differentiated Poisson integral. It explores how these properties change across different types of domains, including the circle, sphere, half-plane, half-space, and bicylinder. The research demonstrates that these properties differ substantially based on the specific sense in which the integral density is differentiable. For mathematics researchers and students, this text offers significant theoretical value. The author proves that the theorems presented are improvable, providing a foundation for further mathematical study. Additionally, the book applies these results to solve the Dirichlet problem for a sphere and a half-space of any finite dimension when the boundary function meets specific criteria. This work is a necessary resource for those studying advanced mathematical analysis and domain-specific integral properties.

Key Features

Detailed investigation of boundary properties for the differentiated Poisson integral across various mathematical domains.

Comparative analysis showing how properties differ between circles, spheres, half-planes, half-spaces, and bicylinders.

Examination of how the differentiability of integral density impacts the resulting boundary properties.

Proven solutions for the Dirichlet problem in spheres and half-spaces of any finite dimension.

Advanced mathematical research developed for specialists in mathematical analysis and complex domains.

Product Specifications

Format: hardcover
ASIN: 1606927043
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 July 2009
Listed Since: 11 December 2008

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Boundary Properties of the Differentiated Poisson Integral

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