Sökning: "Naturvetenskap Matematik Matematisk analys"

Visar resultat 16 - 20 av 334 avhandlingar innehållade orden Naturvetenskap Matematik Matematisk analys.

1. 16. The Symmetric Meixner-Pollaczek polynomials

   Författare :Tsehaye Araaya; Sten Kaijser; Svante Janson; Hjalmar Rosengren; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Meixner-Pollaczek polynomial; Orthogonal polynomial; Polynomial operator; Inner product; Umbral calculus; Sheffer polynomial; Convolution type polynomial; Connection and linearization problem; 33C45; 05A40; 33D45; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

   Sammanfattning : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. LÄS MER

3. 17. The Diamond Lemma for Power Series Algebras

   Författare :Lars Hellström; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; diamond lemma; power series algebra; Gröbner basis; embedding into skew fields; archimedean element in semigroup; q-deformed Heisenberg--Weyl algebra; polynomial degree; ring norm; Birkhoff orthogonality; filtered structure; Matematisk analys; Mathematical analysis; Analys; Mathematics; matematik;

   Sammanfattning : The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. LÄS MER

4. 18. Carlson type inequalities and their applications

   Författare :Leo Larsson; Viktor Burenkov; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Carlson’s inequality; weighted inequality; Lp space; general measure space; interpolation; embedding; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

   Sammanfattning : This thesis treats inequalities of Carlson type, i.e. inequalities of the form∥f∥x≤K∏i=1m∥f∥Aiθiwhere ∑i=1mθi =1 and K is some constant, independent of the function f. X and Ai are normed spaces, embedded in some Hausdorff topological vector space. LÄS MER

5. 19. Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure

   Författare :Tomas Sjödin; Björn Gustafsson; Stephen Gardiner; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Quadrature Domain; Balayage; Harmonic measure; Martin boundary; Matematisk analys; Mathematical analysis; Analys;

   Sammanfattning : In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to quadrature domains. Among the problems studied are the possibility of changing the type of measure in a quadrature identity (from complex to real and from real signed to positive), properties of partial balayage, which in a sense can be used to generate quadrature domains, and mother bodies which are closely related to inversion of partial balayage. LÄS MER

7. 20. Computational Aspects of Maass Waveforms

   Författare :Fredrik Strömberg; Dennis A. Hejhal; Andreas Strömbergsson; David Farmer; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Maass waveform; Congruence subgroup; Noncongruence subgroup; Multiplier system; Theta multiplier system; Eta multiplier system; real weight; Hecke operator; Involution; Dirichlet character; Spectral Theory; Computation; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

   Sammanfattning : The topic of this thesis is computation of Mass waveforms, and we consider a number of different cases: Congruence subgroups of the modular group and Dirichlet characters (chapter 1); congruence subgroups and general multiplier systems and real weight (chapter 2); and noncongruence subgroups (chapter 3). In each case we first discuss the necessary theoretical background. LÄS MER