Harmonic Approximation

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Paperback | 17 July 1995

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148 Pages

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22.86 x 15.24 x 0.86

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Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. The author draws inspiration from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions (potential theory), or an interest in holomorphic approximation.

Industry Reviews

"This monograph should make the main results and techniques of harmonic approximation, much of which has been developed in the last 20 years, more familiar to a wider circle of mathematicians." P. Lappan, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Arts & Entertainment Music Theory of Music & Musicology Probability & Statistics Differential Calculus & Equations Algebra

Review of thin sets
Approximation on compact sets
Fusion of harmonic functions
Approximation on relatively closed sets
Carleman approximation
Tangential approximation at infinity
Subharmonic extension and approximation
The Dirichlet problem with non-compact boundary
Further applications
Table of Contents provided by Publisher. All Rights Reserved.

Harmonic Approximation

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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