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Pointwise convergence of vector-valued Fourier series
Pointwise convergence vector-valued Fourier series Functional Analysis
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2012/5/24
We prove a vector-valued version of Carleson's theorem: Let Y=[X,H]_t be a complex interpolation space between a UMD space X and a Hilbert space H. For p\in(1,\infty) and f\in L^p(T;Y), the partial su...
Convergence of operator-semigroups associated with generalised elliptic forms
Elliptic sesquilinear forms Semigroup convergence Gibbs semigroups Minimax principle Schatten classes
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2011/8/26
Abstract: In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form...
A functional limit convergence towards brownian excursion
Random walks Conditioning to stay positive Invariance Principle
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2011/1/17
We consider a random walk S in the domain of attraction of a standard normal law Z, ie there exists a positive sequence an such that Sn/an converges in law towards Z. The main result of this note is t...
Convergence of Hill's method for nonselfadjoint operators
Hill’s method periodic-coefficient operators Floquet-Bloch decomposition
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2010/12/9
By the introduction of a generalized Evans function defined by an appropriate 2-modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill’s method for n...