Hankel forms and the Fock space.
Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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Svante Janson, Jaak Peetre, Richard Rochberg (1987)
Revista Matemática Iberoamericana
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Peetre, Jaak
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Jaak Peetre (1992)
Revista Matemática Iberoamericana
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Saifallah Ghobber (2018)
Czechoslovak Mathematical Journal
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The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
Robert Wallstén (1989)
Mathematica Scandinavica
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Aline Bonami, Joaquim Bruna (1999)
Publicacions Matemàtiques
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We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.
Carmen H. Mancera, Pedro José Paúl (2001)
Czechoslovak Mathematical Journal
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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions and , an operator is said to be a generalized Hankel operator if and satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of and . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...