Banach Algebras of Integral Operators, Off-Diagonal Decay, and Applications in Wireless Communications

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dc.creatorBeaver, Scott
dc.date2004-06-09
dc.date.accessioned2026-07-07T05:09:07Z
dc.date.available2026-07-07T05:09:07Z
dc.descriptionIn this dissertation I establish that a broad class of Banach *-algebras of infinite integral operators, defined by the property that the kernels of the elements of the algebras possess subexponential off-diagonal decay, is inverse closed in the Banach space of bounded linear operators on the Hilbert space of square-integrable functions. I also show that the algebras under consideration are symmetric. In the second part of this dissertation, I present the results of the IEEE Transactions on Communications paper written jointly by Thomas Strohmer and me. We develop a comprehensive framework for the design of orthogonal frequency-division multiplexing (OFDM) systems, using techniques from Gabor frame theory, sphere-packing theory, representation theory, and the Heisenberg group.
dc.description116 pages, 20 figures, dissertation
dc.identifierhttps://arxiv.org/abs/math/0406198
dc.identifierhttp://arxiv.org/abs/math/0406198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71513
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47L80
dc.titleBanach Algebras of Integral Operators, Off-Diagonal Decay, and Applications in Wireless Communications
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