Sökning: "integral geometry"

Visar resultat 16 - 20 av 47 avhandlingar innehållade orden integral geometry.

1. 16. Toric varieties and residues

   Författare :Alexey Shchuplev; Mikael Passare; Alekos Vidras; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; toric variety; residue; residue current; integral representation; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Sammanfattning : The multidimensional residue theory as well as the theory of integral representations for holomorphic functions is a very powerful tool in complex analysis. The computation of integrals, solving algebraic or differential equations is usually reduced to some residue integral. LÄS MER

3. 17. Okounkov bodies and geodesic rays in Kähler geoemtry

   Författare :David Witt Nyström; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Kähler geometry; Legendre transform; Monge-Ampère operator; Okounkov bodies;

   Sammanfattning : This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to convex functions on the associated Okounkov body. LÄS MER

4. 18. Counting solutions to Diophantine equations

   Författare :Oscar Marmon; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Integral points; rational points; counting function; exponential sums; Weyl differencing; van der Corput s method; determinant method; sum of k-th powers; counting function;

   Sammanfattning : This thesis presents various results concerning the density of rational and integral points on algebraic varieties. These results are proven with methods from analytic number theory as well as algebraic geometry. LÄS MER

5. 19. On Herglotz-Nevanlinna functions in several variables

   Författare :Mitja Nedic; Annemarie Luger; B. L. G. Jonsson; Ragnar Sigurðsson; Pamela Gorkin; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Herglotz-Nevanlinna functions; several complex variables; integral representations; Nevanlinna measures; Herglotz-Nevanlinnafunktioner; flera komplexa variabler; integralframställningar; Nevanlinnamått; Mathematics; matematik;

   Sammanfattning : In this thesis, we investigate different aspects of the class of Herglotz-Nevanlinna functions in several variables. These are holomorphic functions on the poly-upper half-plane having non-negative imaginary part. Our results are presented in the four research articles A1 - A4, which are included in this thesis. LÄS MER

7. 20. Mixed mode loaded adhesive layers : from measurement of material data to analysis of structural behaviour

   Författare :Jia Li Högberg; Högskolan i Skövde; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; adhesive layer; mixed mode testing; cohesive law; J-integral; Engineering mechanics; Teknisk mekanik; Teknik; Technology;

   Sammanfattning : In manufacturing of multi-material products, a joining method that is able to cost-effectively assemble components made of dissimilar and similar material, with irregular geometries, is optimal. As an alternative, adhesive bonding is in-creasingly adapted by the industry, which is also used in manufacturing of multi-phase materials. LÄS MER