Differential Equations

Download e-book for kindle: Integral Geometry and Convolution Equations by V.V. Volchkov

By V.V. Volchkov

indispensable geometry offers with the matter of identifying capabilities by means of their integrals over given households of units. those integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this rework is injective. nevertheless, once we paintings with complicated measures or varieties, operators look whose kernels are non-trivial yet which describe very important sessions of capabilities. lots of the questions bobbing up the following relate, in a single means or one other, to the convolution equations. many of the renowned courses during this ?eld comprise the works by way of J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and up to date monographs through L. H¨ ormander and S. Helgason. till lately study during this region was once conducted typically utilizing the means of the Fourier rework and corresponding equipment of complicated research. in recent times the current writer has labored out an basically di?erent technique according to the outline of assorted functionality areas by way of - pansions in exact capabilities, which has enabled him to set up very best ends up in numerous renowned problems.

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Integral Geometry and Convolution Equations by V.V. Volchkov

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