Please use this identifier to cite or link to this item:
doi:10.22028/D291-26235
Title: | Projective limits via inner premeasures and the true Wiener measure |
Author(s): | König, Heinz |
Language: | English |
Year of Publication: | 2003 |
Free key words: | Prokhorov condition transplantation theorems |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | The paper continues the author's work in measure and integration, which is an attempt at unified systematization. It establishes projective limit theorems of the Prokhorov and Kolmogorov types in terms of inner premeasures. Then it specializes to obtain the (one-dimensional) Wiener measure on the space of real-valued functions on the positive halfline as a probability measure defined on an immense domain: In particular the subspace of continuous functions will be measurable of full measure - and not merely of full outer measure, as the usual projective limit theorems permit to conclude. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44184 hdl:20.500.11880/26291 http://dx.doi.org/10.22028/D291-26235 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 83 |
Date of registration: | 6-Dec-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_83_03.pdf | 562,96 kB | Adobe PDF | View/Open |
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