Title: Two-parameter stochastic processes with finite variation
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Permanent Link: http://ufdc.ufl.edu/UF00099467/00001
 Material Information
Title: Two-parameter stochastic processes with finite variation
Physical Description: iii, 152 leaves : ill. ; 28 cm.
Language: English
Creator: Lindsey, Charles, 1962- ( Dissertant )
Dinouleanu, Nicolae ( Thesis advisor )
Brooks, James ( Reviewer )
Block, Louis ( Reviewer )
Glover, Joseph ( Reviewer )
Keesling, James ( Reviewer )
Dolbier, William ( Reviewer )
Lockhart, Madelyn ( Degree grantor )
Publisher: University of Florida
Place of Publication: Gainesville, Fla.
Publication Date: 1988
Copyright Date: 1988
 Subjects
Subjects / Keywords: Stochastic processes   ( lcsh )
Mathematics thesis Ph. D   ( local )
Dissertations, Academic -- Mathematics -- UF   ( local )
Genre: bibliography   ( marcgt )
non-fiction   ( marcgt )
theses   ( marcgt )
 Notes
Abstract: Let E be a Banach space with norm |•|, and f: R2+ →E a function with finite variation. Properties of the variation are studied, and an associated increasing real-valued function |f| is defined. Sufficient conditions are given for f to have properties analogous to those of functions of one variable. A correspondence f ↔μf between such functions and E-valued Borel measures on R2+ is established, and the equality | μf |= μ|f| is proved. Correspondences between E-valued two-parameter processes X with finite variation |x| and E-valued stochastic measures with finite variation are established. The case where X takes values in L(E,F) (F a Banach space) is studied, and it is shown that the associated measure μx takes values in L(E,F"); some x sufficient conditions for y to be L(E,F)-valued are given. Similar results for the converse problem are established, and some conditions sufficient for the equality | μx |= μ|x| are given.
Statement of Responsibility: by Charles Lindsey.
Thesis: Thesis (Ph. D.)--University of Florida, 1988.
Bibliography: Includes bibliographical references.
General Note: Typescript.
General Note: Vita.
 Record Information
Bibliographic ID: UF00099467
Volume ID: VID00001
Source Institution: University of Florida
Holding Location: University of Florida
Rights Management: All rights reserved by the source institution and holding location.
Resource Identifier: alephbibnum - 001088024
oclc - 19299436
notis - AFH3397

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