Essays about: "Hilbert spectrum"
Showing result 1 - 5 of 7 essays containing the words Hilbert spectrum.
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1. An operator theoretic approach to the Riemann Hypothesis
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE
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2. Small Toeplitz Operators
University essay from Lunds universitet/Matematik LTHAbstract : Toeplitz operators acting on Hilbert spaces of analytic functions are among the most well studied examples of concrete operators. In our work we are interested in a cut-off property of such operators; namely, if the operator is small enough, does it have to be zero? Or more in general, must its symbol be of a particular form? There have been several such results, and in the Hardy space the answer is classical and well known. READ MORE
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3. Hilbert Transform : Mathematical Theory and Applications to Signal processing
University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakultetenAbstract : The Hilbert transform is a widely used transform in signal processing. In this thesis we explore its use for three different applications: electrocardiography, the Hilbert-Huang transform and modulation. For electrocardiography, we examine how and why the Hilbert transform can be used for QRS complex detection. READ MORE
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4. Shift Operator in l2 Space
University essay from KTH/Matematik (Inst.)Abstract : A Hilbert space H is the abstraction of a nite-dimensional Eu-clidean space. The spectrum of a bounded linear operator A : H !H , denoted (A), is given by all numbers 2 C such that (AI) isnot invertible. The shift operators are one type of bounded linear op-erators. In this report we prove ve claims regarding the spectrum ofthe shifts. READ MORE
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5. Theoretical Investigation of a new OFDM Access-Network Topology (OTONES)
University essay from KTH/Skolan för informations- och kommunikationsteknik (ICT)Abstract : Recent studies on growth of telecomm sector depict an ever rising demand for high bandwidth applications such as on-line gaming, high definition television and many more. This demand is coupled with increase in internet connected utilities per house hold - each requiring a portion of bandwidth. READ MORE