Hilbert Transform

Elijah Liflyand

doi:10.1007/978-3-030-81892-0_5

Hilbert Transform

Elijah Liflyand

Department of Mathematics

Southern Federal University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

There are two main operators in harmonic analysis on the real line. One of them, the Fourier transform in various forms, has been discussed in the previous chapters. We now proceed to the second one, the Hilbert transform. We precede the basic presentation in a special manner. Wikipedia says that the Hilbert transform is a technique used to obtain the minimum-phase response from a spectral analysis.

Original language	English
Title of host publication	Pathways in Mathematics
Publisher	Birkhauser
Pages	71-99
Number of pages	29
DOIs	https://doi.org/10.1007/978-3-030-81892-0_5
State	Published - 2021

Publication series

Name	Pathways in Mathematics
ISSN (Print)	2367-3451
ISSN (Electronic)	2367-346X

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-030-81892-0_5

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Hilbert Transform

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