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Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions

Dmitry Khavinson author Catherine Beneteau author

Format:Hardback

Publisher:Taylor & Francis Inc

Publishing:1st Apr '26

£69.99

This title is due to be published on 1st April, and will be despatched as soon as possible.

Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions cover

The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities. , this approach can be characterized by a recently coined term "sandwiches". A certain quantity is introduced, usually as a degree of approximation to a given simple function, e.g., z* , |x|^2, by either analytic or harmonic functions in some norm. Then, the estimates from below and above of the approximate distance are obtained in terms of simple geometric characteristics of the set, e.g., area, perimeter, capacity, etc. The resulting "sandwich" yields the isoperimetric inequality.

ISBN: 9781498756365

Dimensions: unknown

Weight: unknown

304 pages