Sökning: "Natan Kruglyak"
Hittade 4 avhandlingar innehållade orden Natan Kruglyak.
1. Orthogonal Polynomials, Operators and Commutation Relations
Sammanfattning : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. LÄS MER
2. Exact Minimizers in Real Interpolation : Characterization and Appliations
Sammanfattning : The main idea of the thesis is to develop new connections between the theory of real interpolation and applications. Near and exact minimizers for E–, K– and L–functionals of the theory of real interpolation are very important in applications connected to regularization of inverse problems such as image processing. LÄS MER
3. Optimal Decomposition in Real Interpolation and Duality in Convex Analysis
Sammanfattning : This thesis is devoted to the study of mathematical properties of exact minimizers for the K–,L–, and E– functionals of the theory of real interpolation. Recently exact minimizers for these functionals have appeared in important results in image processing. LÄS MER
4. Taut Strings and Real Interpolation
Sammanfattning : The taut string problem concerns finding the function with the shortest graph length, i.e. the taut string, in a certain set of continuous piecewise linear functions. It has appeared in a broad range of applications including statistics, image processing and economics. LÄS MER