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Weighted Hardy Spaces Over the Unit Ball: The Freely Noncommutative and Commutative Settings Read chapter Read first chapter

2024 | OriginalPaper | Chapter

Hilbert Transform in the Cartwright–de Branges Space

Authors : Arun K. Bhardwaj, Arup Chattopadhyay, Javad Mashreghi, R. K. Srivastava

Published in: Operator and Matrix Theory, Function Spaces, and Applications

Publisher: Springer Nature Switzerland

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Abstract

Contrary to celebrated transforms such as the Fourier transform, explicit formulas for the Hilbert transform of well-known functions are rare. In this note, we present a formula for the Hilbert transform of \(\log |F/E|\), where F belongs to the Cartwright–de Branges space associated with the de Branges function E. The formula implies several other known results.

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previous chapter Two Aspects of Small Diameter Properties
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Metadata
Title
Hilbert Transform in the Cartwright–de Branges Space
Authors
Arun K. Bhardwaj
Arup Chattopadhyay
Javad Mashreghi
R. K. Srivastava
Copyright Year
2024
Book
Operator and Matrix Theory, Function Spaces, and Applications

Print ISBN: 978-3-031-50612-3

Electronic ISBN: 978-3-031-50613-0

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50613-0_3

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