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Inversion and extension of the finite Hilbert transform on (- 1, 1)

Citation

Curbera, GP and Okada, S and Ricker, WJ, Inversion and extension of the finite Hilbert transform on (- 1, 1), Annali di Matematica Pura ed Applicata, 198, (5) pp. 1835-1860. ISSN 0373-3114 (2019) [Refereed Article]


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DOI: doi:10.1007/s10231-019-00837-w

Abstract

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this corresponds to extending its action to larger domains, hopefully to the largest possible such domain (i.e., its optimal domain). Some classical operators are already optimally defined (e.g., the Hilbert transform in Lp(R) , 1 < p

Item Details

Item Type:Refereed Article
Keywords:Finite Hilbert transform rearrangement invariant space, airfoil equation, fredholm operator, Primary 44A15, 46E30, Secondary 47A53, 47B34
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Pure mathematics not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Okada, S (Dr Susumu Okada)
ID Code:152550
Year Published:2019
Web of Science® Times Cited:4
Deposited By:Mathematics
Deposited On:2022-08-22
Last Modified:2022-09-15
Downloads:0

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