Shift operator generated by trigonometric systems

V. V. Kucherenko; N. L. Vasilevskii

Shift operator generated by trigonometric systems

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

Abstract

We study the isometric operator generated by a trigonometric system. This operator is used in problems with directional derivatives and in theory of the Fourier series. We prove that this isometric operator is a pure shift and present application of this fact to the inverse problem of magnetoresistense. ©2000 Kluwer Academic/Plenum Publishers.

Original language	American English
Pages (from-to)	459-467
Number of pages	412
Journal	Mathematical Notes
State	Published - 1 Mar 2000

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N2 - We study the isometric operator generated by a trigonometric system. This operator is used in problems with directional derivatives and in theory of the Fourier series. We prove that this isometric operator is a pure shift and present application of this fact to the inverse problem of magnetoresistense. ©2000 Kluwer Academic/Plenum Publishers.

AB - We study the isometric operator generated by a trigonometric system. This operator is used in problems with directional derivatives and in theory of the Fourier series. We prove that this isometric operator is a pure shift and present application of this fact to the inverse problem of magnetoresistense. ©2000 Kluwer Academic/Plenum Publishers.

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Shift operator generated by trigonometric systems

Abstract

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