On power series in the differentiation operator
Thomas Boehme (1973)
Studia Mathematica
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Displaying similar documents to “On power series in the operators ”
On power series in the differentiation operator
Analytic functions in non-locally convex spaces and applications
N. Kalton (1986)
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On a quasi-monotonic sequence
Hsiang, Fu Cheng (1967)
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Analytic extension of ultradifferentiable Whitney jets.
Jean Schmets, Manuel Valdivia (1999)
Collectanea Mathematica
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A class of gap theorems
Norbert Wiener (1934)
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Plurisubharmonic functions on quasi-Banach spaces
N. Kalton (1986)
Studia Mathematica
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A note on quasi-analytic vectors
A. Nussbaum (1969)
Studia Mathematica
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Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
Jian-Guo Si, Xin-Ping Wang (1999)
Colloquium Mathematicae
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This paper is concerned with a second-order functional differential equation of the form with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
On quasi-analytic vectors for some classes of operators
Istratescu, Vasile I., Constantin, Gheorghe (1983-1984)
Portugaliae mathematica
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p-Analytic and p-quasi-analytic vectors
Jan Rusinek (1998)
Studia Mathematica
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For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.