caa a22 4500 477076947 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF00047027 doi (NATIONALLICENCE)springer-10.1007/BF00047027 A mathematical flat integral realization and a large deviation result for the free Euclidean field [Elektronische Daten] [Sergio Albeverio, Jiang-Lun Wu] In this paper, we give a nonstandard construction of the free Euclidean field via S-white noise. This provides a flat integral realization of the free Euclidean field measure, which extends N. J. Cutland's flat integral representation of Wiener measure. Moreover, we show how a Cameron-Martin type formula for translations of the free field measure and a Schilder type large deviation principle for the scalar free field measure can be deduced from our nonstandard construction. Kluwer Academic Publishers, 1996 free Euclidean field nationallicence free field measure nationallicence flat integral representation nationallicence large deviation principle nationallicence Loeb measure nationallicence nonstandard analysis nationallicence Albeverio Sergio Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum, Germany aut Wu Jiang-Lun Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum, Germany aut Acta Applicandae Mathematica Kluwer Academic Publishers 45/3(1996-12-01), 317-348 0167-8019 45:3<317 1996 45 10440 https://doi.org/10.1007/BF00047027 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00047027 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Albeverio Sergio Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum, Germany aut NATIONALLICENCE 700 1- Wu Jiang-Lun Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum, Germany aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 45/3(1996-12-01), 317-348 0167-8019 45:3<317 1996 45 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer