Integral Geometry and Convolution Equations

Name: Integral Geometry and Convolution Equations
Brand: Springer Netherlands
SKU: 9781402016288
Price: 582.59 RON
Availability: InStock

Autor: V.V. Volchkov

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Legare: Copertă tare

Editura: Springer Netherlands

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Integral geometry deals with the problem of determining functions by their integrals over given fami...

Informații despre carte

Autor

V.V. Volchkov

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

454

EAN

9781402016288

ISBN

140201628X

Enbook ID

01415442

Editura

Springer Netherlands

Greutate

863

Dimensiuni

160 x 240 x 25

Descriere completă

Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems.

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Integral Geometry and Convolution Equations

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