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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 8, Pages 127–132 (Mi fpm1103)  
This article is cited in 6 scientific papers (total in 6 papers)

Lebesgue measure in infinite dimension as an infinite-dimensional distribution

R. Léandre

Université de Bourgogne
Full-text PDF (100 kB) Citations (6)
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Abstract: Physicists deal with the formal Lebesgue measure on the space of smooth maps from one manifold to another. The aim of the present paper is to give two definitions of this measure as a distribution: using functional spaces of noncommutative geometry and those of the white noise theory.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 6, Pages 833–836
DOI: https://doi.org/10.1007/s10958-009-9475-2
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: R. Léandre, “Lebesgue measure in infinite dimension as an infinite-dimensional distribution”, Fundam. Prikl. Mat., 13:8 (2007), 127–132; J. Math. Sci., 159:6 (2009), 833–836
Citation in format AMSBIB
\Bibitem{Lea07}
\by R.~L\'eandre
\paper Lebesgue measure in infinite dimension as an infinite-dimensional distribution
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 8
\pages 127--132
\mathnet{http://mi.mathnet.ru/fpm1103}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2475586}
\zmath{https://zbmath.org/?q=an:1186.58009}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 159
\issue 6
\pages 833--836
\crossref{https://doi.org/10.1007/s10958-009-9475-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349213640}
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  • https://www.mathnet.ru/eng/fpm/v13/i8/p127
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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