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On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators. / Owen Christopher Morris

Swansea University Author: Owen Christopher Morris

Abstract

"The thesis shows that, under suitable conditions, a pseudo-differential operator, defined on some "nice" set of functions on Rn x Zm, with continuous negative definite symbol q(x,xi,o) extends to a generator of a Feller semigroup. Sections 1-5 are the preliminary sections, these sect...

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Published: 2013
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42779
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first_indexed 2018-08-02T18:55:31Z
last_indexed 2018-08-03T10:11:04Z
id cronfa42779
recordtype RisThesis
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spelling 2018-08-02T16:24:30.4609976 v2 42779 2018-08-02 On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators. 5c285aa6242f82c6f76e66f4414d054e NULL Owen Christopher Morris Owen Christopher Morris true true 2018-08-02 "The thesis shows that, under suitable conditions, a pseudo-differential operator, defined on some "nice" set of functions on Rn x Zm, with continuous negative definite symbol q(x,xi,o) extends to a generator of a Feller semigroup. Sections 1-5 are the preliminary sections, these sections discuss some harmonic analysis concerning locally compact Abelian groups. The essence of this thesis are Sections 6-13, which deals with obtaining the estimates required for the fulfilment of the conditions of the Hille-Yosida-Ray theorem." E-Thesis Mathematics. 31 12 2013 2013-12-31 COLLEGE NANME Mathematics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:30.4609976 2018-08-02T16:24:30.4609976 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Owen Christopher Morris NULL 1 0042779-02082018162521.pdf 10807548.pdf 2018-08-02T16:25:21.2700000 Output 2300080 application/pdf E-Thesis true 2018-08-02T16:25:21.2700000 false
title On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
spellingShingle On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
Owen Christopher Morris
title_short On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
title_full On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
title_fullStr On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
title_full_unstemmed On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
title_sort On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators.
author_id_str_mv 5c285aa6242f82c6f76e66f4414d054e
author_id_fullname_str_mv 5c285aa6242f82c6f76e66f4414d054e_***_Owen Christopher Morris
author Owen Christopher Morris
author2 Owen Christopher Morris
format E-Thesis
publishDate 2013
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description "The thesis shows that, under suitable conditions, a pseudo-differential operator, defined on some "nice" set of functions on Rn x Zm, with continuous negative definite symbol q(x,xi,o) extends to a generator of a Feller semigroup. Sections 1-5 are the preliminary sections, these sections discuss some harmonic analysis concerning locally compact Abelian groups. The essence of this thesis are Sections 6-13, which deals with obtaining the estimates required for the fulfilment of the conditions of the Hille-Yosida-Ray theorem."
published_date 2013-12-31T03:53:38Z
_version_ 1763752666253492224
score 11.037603

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