Search for dissertations about: "Pavel Kurasov"
Showing result 1 - 5 of 8 swedish dissertations containing the words Pavel Kurasov.
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1. On direct and inverse problems in dimension one
Abstract : See paper copy.... READ MORE
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2. On direct and inverse scattering problems in dimension one
Abstract : Direct and inverse scattering problems for the Schrödinger operator in dimension one are investigated. Relations between the scattering problems defined by regular and zero range potentials are investigated.Correct mathematical definition of the «^'-interaction is introduced and investigated in detail. READ MORE
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3. Generalized Titchmarsh-Weyl functions and super singular perturbations
Abstract : In this thesis we study certain singular Sturm-Liouville differential expressions from an operator theoretic point of view.In particular we are interested in expressions that involve strongly singular potentials as introduced by Gesztesy and Zinchenko. READ MORE
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4. Higher order differential operators on graphs
Abstract : This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of -Laplacians. Here, an -Laplacian, for integer , refers to a metric graph equipped with a differential operator whose differential expression is the -th derivative. READ MORE
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5. Pairs of projections on a Hilbert space:properties and generalized invertibility
Abstract : This thesis is concerned with the problem of characterizing sums, differences, and products of two projections on a separable Hilbert space. Other objective is characterizing the Moore-Penrose and the Drazin inverse for pairs of operators. We use reasoning similar to one presented in the famous P. READ MORE