Hilbert Transforms

Urs Graf ()

Chapter Chapter 5 in Introduction to Hyperfunctions and Their Integral Transforms, 2010, pp 275-308 from Springer

Abstract: Abstract Because the convolution of two hyperfunctions is an established concept, we may use it to define the Hilbert transform of a hyperfunction. On the other hand, the classical Hilbert transform is also linked to the Cauchy-type integral. These two parents have unfortunately led to the fact that there is no adopted standard definition of the Hilbert transform. After some hesitation I have chosen the definition which relays on the Cauchy-type integral.

Keywords: Integral Equation; Analytic Signal; Entire Function; Compact Support; Real Axis (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0346-0408-6_5

Ordering information: This item can be ordered from
http://www.springer.com/9783034604086

DOI: 10.1007/978-3-0346-0408-6_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().