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

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

2004-06-09

arxiv.org/abs/math/0406198v1

Mathematics

Operator Algebras

116 pages, 20 figures, dissertation

Scientific paper

In 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.

Affiliated with

Also associated with

No associations

Rating

Banach Algebras of Integral Operators, Off-Diagonal Decay, and Applications in Wireless Communications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Banach Algebras of Integral Operators, Off-Diagonal Decay, and Applications in Wireless Communications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Banach Algebras of Integral Operators, Off-Diagonal Decay, and Applications in Wireless Communications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668598