Generalized functionals in Gaussian spaces: The characterization theorem revisited


Kondratiev, Yuri G. ; Leukert, Peter ; Potthoff, Jürgen ; Streit, Ludwig ; Westerkamp, Werner


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URL: https://ub-madoc.bib.uni-mannheim.de/1727
URN: urn:nbn:de:bsz:180-madoc-17275
Document Type: Working paper
Year of publication: 1994
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 46L54 46L53 46L51 60G20 ,
Subject headings (SWD): Weißes Rauschen , Gelfand-Neumark-Satz , Distribution <Funktionalanalysis>
Keywords (English): characterization theorems , white noise analysis , construction of smooth and generalized random variables , U-functionals , topological invariance
Abstract: Gel'fand triples of test and generalized functionals in Gaussian spaces are constructed and characterized.




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