Search for dissertations about: "Hilbert Functions"
Showing result 1 - 5 of 34 swedish dissertations containing the words Hilbert Functions.
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1. Bounds on Hilbert Functions
Abstract : This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. READ MORE
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2. Nelson-type Limits for α-Stable Lévy Processes
Abstract : Brownian motion has met growing interest in mathematics, physics and particularly in finance since it was introduced in the beginning of the twentieth century. Stochastic processes generalizing Brownian motion have influenced many research fields theoretically and practically. READ MORE
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3. 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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4. 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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5. Rotstein rings and some inequalities concerning Hilbert functions
Abstract : .... READ MORE