The Hilbert transform and rearrangement of functions
R. O'Neil, G. Weiss (1963)
Studia Mathematica
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Displaying similar documents to “Hilbert transform and its geophysical applications”
The Hilbert transform and rearrangement of functions
On the bilinear Hilbert transform.
Lacey, Michael T. (1998)
Documenta Mathematica
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Linear and bilinear Hilbert transform.
Bučkovska, Aneta (2001)
Novi Sad Journal of Mathematics
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Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.
Bernstein, S. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Boundedness for a bilinear model sum operator on ℝⁿ
Erin Terwilleger (2007)
Studia Mathematica
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The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.
Isomorphic characterizations of Hilbert spaces by orthogonal series with vector valued coefficients
S. Kwapien (1972-1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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The Hilbert transform in weighted spaces of integrable vector-valued functions
T. M. Wolniewicz (1987)
Colloquium Mathematicae
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Hilbert transformation of Beurling ultradistributions
S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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An elementary proof of Komlós-Révész theorem in Hilbert spaces.
Guessous, Mohamed (1997)
Journal of Convex Analysis
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On integral operators associated with the Hilbert transform.
G.O. Okikiolu (1965)
Mathematische Zeitschrift
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Generalized multidimensional Hilbert transforms in Clifford analysis.
Brackx, Fred, De Knock, Bram, De Schepper, Hennie (2006)
International Journal of Mathematics and Mathematical Sciences
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