Analytic Functionals on the Sphere

Name: Analytic Functionals on the Sphere
Brand: American Mathematical Society
SKU: 9780821805855
Price: 25400 KES
Availability: OutOfStock
ISBN: 9780821805855

Book Details

Format Hardback

Book Series Translations of Mathematical Monographs

ISBN-10 0821805851

ISBN-13 9780821805855

Publisher American Mathematical Society

Imprint American Mathematical Society

Country of Manufacture US

Country of Publication GB

Publication Date Sep 30th, 1998

Print length 170 Pages

Weight 539 grams

Product Classification: Complex analysis, complex variables Functional analysis & transforms Functional analysis and transforms

KSh 25,400.00

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Introduces a system of complex neighborhoods of the sphere by means of the Lie norm. This book treats spherical harmonic expansion of real analytic functions and hyper functions on the sphere. It studies holomorphic functions and analytic functionals on the complex sphere.

This book treats spherical harmonic expansion of real analytic functions and hyper functions on the sphere. Because a one-dimensional sphere is a circle, the simplest example of the theory is that of Fourier series of periodic functions. The author first introduces a system of complex neighborhoods of the sphere by means of the Lie norm. He then studies holomorphic functions and analytic functionals on the complex sphere. In the one-dimensional case, this corresponds to the study of holomorphic functions and analytic functionals on the annular set in the complex plane, relying on the Laurent series expansion. In this volume, it is shown that the same idea still works in a higher-dimensional sphere. The Fourier-Borel transformation of analytic functionals on the sphere is also examined; the eigenfunction of the Laplacian can be studied in this way.

Get Analytic Functionals on the Sphere by Mitsuo Morimoto at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by American Mathematical Society and it has 170 pages.