Extension of Continuous Functionals
Eugen Futáš (1971)
Matematický časopis
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Eugen Futáš (1971)
Matematický časopis
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Goluzina, E.G. (2004)
Zapiski Nauchnykh Seminarov POMI
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Svetozar Milić (1978)
Publications de l'Institut Mathématique
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A. Kozek (1973)
Applicationes Mathematicae
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W. Żelazko (1973)
Colloquium Mathematicae
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W. Kulpa (1976)
Colloquium Mathematicae
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Žarko Mijajlović (1977)
Publications de l'Institut Mathématique
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Luukkainen, Jouni (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Herry Pribawanto Suryawan (2019)
Mathematica Bohemica
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We prove that derivatives of any finite order of Donsker's delta functionals are well-defined elements in the space of Hida distributions. We also show the convergence to the derivative of Donsker's delta functionals of two different approximations. Finally, we present an existence result of finite product and infinite series of the derivative of the Donsker delta functionals.