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Integral representation of holomorphic mappings on fully nuclear spaces
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2008 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 339, no 1, 146-152 p.Article in journal (Refereed) Published
Abstract [en]

We obtain the following integral representation: [GRAPHICS] for all Z is an element of E. a fully nuclear space with basis, where eta and gamma belong to E '(beta) eta/gamma is an element of l(1), f is a holomorphic function of eta-exponential type on E, mu(gamma) is a Gaussian measure on E '(beta) and D is a densely defined diagonal mapping from E '(beta) into E.

Place, publisher, year, edition, pages
2008. Vol. 339, no 1, 146-152 p.
Keyword [en]
Gaussian measure, nuclear space, holomorphic function of exponential type
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-59140DOI: 10.1016/j.jmaa.2007.04.035ISI: 000252057000013OAI: oai:DiVA.org:su-59140DiVA: diva2:426871
Note
authorCount :2Available from: 2011-06-27 Created: 2011-06-21 Last updated: 2017-12-11Bibliographically approved

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