Hilbert transform is an isometry: A simple proof via real rational functions

Research Article

Hilbert transform is an isometry: A simple proof via real rational functions

Published in: Quaestiones Mathematicae
Volume 44 , issue 8 , 2021 , pages: 1013–1017
DOI: 10.2989/16073606.2020.1761474
Author(s): Shirley Bromberg Silverstein , México , Victor A. Cruz Barriguete , México , Omar Sanchez Antonio , Spain
Keywords: 44A15 , 26C15 , 44A20 , 44A15 , 26C15 , 44A20
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Abstract

The aim of this note is to give a simple proof of the fact that the Hilbert transform in is an isometry, using a basis for consisting orthonormal real rational functions.
« Mal’tsev and Lawvere functors
Filled groups of order pqr for primes p; q and r »

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