Search for dissertations about: "Hilbert function"
Showing result 1 - 5 of 23 swedish dissertations containing the words Hilbert function.
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1. Interpolation of Hilbert spaces
Abstract : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). READ MORE
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2. Mean Field Games for Jump Non-Linear Markov Process
Abstract : The mean-field game theory is the study of strategic decision making in very large populations of weakly interacting individuals. Mean-field games have been an active area of research in the last decade due to its increased significance in many scientific fields. READ MORE
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3. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules
Abstract : The thesis is a collection of four papers dealing with Hilbert functions and Betti numbers.In the first paper, we study the h-vectors of reduced zero-dimensional schemes in . In particular we deal with the problem of findingthe possible h-vectors for the union of two sets of points of given h-vectors. READ MORE
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4. Function spaces and rational inner functions on polydiscs
Abstract : In this thesis we consider problems related to rational inner functionsand several different Hilbert spaces on the unit polydisc. In the general introduction the functions and the function spaces we will be interested in are introduced, and in particular we point outproblems and phenomena that occur in higher dimensions and are notpresent for one variable functions. READ MORE
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5. Power ideals, Fröberg conjecture and Waring problems
Abstract : This thesis is divided into two chapters. First, we want to study particularclasses of power ideals, with particular attention to their relation with the Fröberg conjecture on the Hilbert series of generic ideals. READ MORE
