Note
Thesis (M.S.)--Florida Atlantic University, 1976.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
1976
Description
We analyze some topics of the theory of integration in
infinite dimensional vector spaces. In the first five
chapters we deal mainly with I. E. Segal's approach to
integration in Hilbert spaces and prove the existence of
the canonical normal distribution in a Hilbert space;
we also give a simplified proof of Segal's version of the
Plancherel Theorem. In the last chapter we discuss a
theorem due to A. M. Gleason relevant to separable Hilbert
spaces. We deduce that the behavior of measures on finite
dimensional subspaces determines the behavior of the
measures in a separable Hilbert space.
infinite dimensional vector spaces. In the first five
chapters we deal mainly with I. E. Segal's approach to
integration in Hilbert spaces and prove the existence of
the canonical normal distribution in a Hilbert space;
we also give a simplified proof of Segal's version of the
Plancherel Theorem. In the last chapter we discuss a
theorem due to A. M. Gleason relevant to separable Hilbert
spaces. We deduce that the behavior of measures on finite
dimensional subspaces determines the behavior of the
measures in a separable Hilbert space.
Language
Type
Form
Extent
59 p.
Subject (Topical)
Identifier
13791
Additional Information
Thesis (M.S.)--Florida Atlantic University, 1976.
Date Backup
1976
Date Text
1976
Date Issued (EDTF)
1976
Extension
FAU
FAU
admin_unit="FAU01", ingest_id="ing1508", creator="staff:fcllz", creation_date="2007-07-19 01:37:52", modified_by="staff:fcllz", modification_date="2011-01-06 13:09:02"
IID
FADT13791
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
MADIEDO, ELENA
Graduate College
Physical Description
59 p.
application/pdf
Title Plain
INTEGRATION IN INFINITE DIMENSIONAL HILBERT SPACES
Use and Reproduction
Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
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Origin Information
1976
Boca Raton, Fla.
Florida Atlantic University
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
INTEGRATION IN INFINITE DIMENSIONAL HILBERT SPACES
Other Title Info
INTEGRATION IN INFINITE DIMENSIONAL HILBERT SPACES