Sökning: "vector-valued"

Visar resultat 6 - 10 av 21 avhandlingar innehållade ordet vector-valued.

1. 6. Sharp Bounds for Calderón-Zygmund Operators in a Vector-Valued Setting

   Författare :Andrei Stoica; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Calderón-Zygmund operator; martingale transform; Bellman function; dyadic Haar shift; UMD space; matrix A2 weight; weighted L2-space; Carleson embedding theorem;

   Sammanfattning : In this thesis we extend several classical results about Calderón-Zygmund operators to spaces of vector-valued functions. We first obtain bounds for the norm of dyadic Haar shift operators using a Bellman function technique, and then apply the representation theorem to obtain corresponding results for general Calderón-Zygmund operators. LÄS MER

3. 7. On time-frequency analysis and pseudo-differential operators for vector-valued functions

   Författare :Patrik Wahlberg; Joachim Toft; Luigi Rodino; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis treats different aspects of time-frequency analysis and pseudodifferential operators, with particular emphasis on techniques involving vector-valued functions and operator-valued symbols. The vector (Banach) space is either motivated by an application as in Paper I, where it is a space of stochastic variables, or is part of a general problem as in Paper II, or arises naturally from problems for scalar-valued operators and function spaces, as in Paper V. LÄS MER

4. 8. Titchmarsh-Weyl M-function asymptotics and some results in the inverse spectral theory for vector-valued Sturm-Liouville equations and a certain higher order ordinary differential equation

   Författare :Erik Andersson; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Paley-Wiener.; The generalized Fourier transform; A certain higher order ordinary differential equation; Borg-Marchenko theorems; Vector-valued Sturm-Liouville equations; Inverse spectral theory; Titchmarsh-Weyl M-function asymptotics; Asymptotics of solutions; Spectral measure;

   Sammanfattning : This discourse is constituted by two separate reprots, where the first one offers an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to a vector-valued Sturm-Liouville equation of the form -(PU')'+QU=zu, xin[0,b), with P^{-1},W,Q being hermitean with locally integrable entries; and under some additional conditions on P^{-1} and W. In the special case of P=W=I, we give some further asymptotic results for the same M-function. LÄS MER

5. 9. Consensus formation in the Deffuant model

   Författare :Timo Hirscher; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Deffuant model; consensus formation; opinion dynamics; sociophysics; vector-valued opinions; percolation; sociophysics;

   Sammanfattning : This thesis deals with a mathematical model used in the context of social interaction in large groups, introduced by Deffuant et al. in 2000. Each individual holds an opinion and shares it with others in random pairwise encounters. LÄS MER

7. 10. On some topics in operator theory : An unfinished story about mathematical control

   Författare :Eskil Rydhe; Harmonic Analysis and Applications; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Carleson embeddings; complex analysis; control theory; functional models; Hankel operators; harmonic analysis; operator theory; Triebel–Lizorkin spaces; vector-valued analytic functions;

   Sammanfattning : This thesis considers differentiation of non-negative, fractional order, composed with Hardy spacetypeHankel operators. H2-boundedness is characterized in terms of a reproducing kernel thesis. LÄS MER