On essential selfadjointness of the Weyl quantized relativistic Hamiltonian.
Takashi Ichinose, Tetsuo Tsuchida (1993)
Forum mathematicum
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Takashi Ichinose, Tetsuo Tsuchida (1993)
Forum mathematicum
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António M. Caetano (1991)
Forum mathematicum
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Josefina Alvarez (2000)
Banach Center Publications
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The aim of this paper is to use an abstract realization of the Weyl correspondence to define functions of pseudo-differential operators. We consider operators that form a self-adjoint Banach algebra. We construct on this algebra a functional calculus with respect to functions which are defined on the Euclidean space and have a finite number of derivatives.
António M. Caetano (1990)
Forum mathematicum
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Qihong Fan, M.W. Wong (1997)
Forum mathematicum
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Niels Jacob (1992)
Forum mathematicum
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N. Lerner, J. Nourrigat (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Andrzej Myśliński (2010)
Control and Cybernetics
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M. C. Calderón-Moreno (2002)
Colloquium Mathematicae
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We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.
H. B. Potoczny (1984)
Matematički Vesnik
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K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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