Search for dissertations about: "currents"

Showing result 1 - 5 of 542 swedish dissertations containing the word currents.

  2. 1. Convexity, Currents, and Lelong numbers

    Author : Aron Lagerberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; complex analysis; convex analysis; currents; Lelong numbers; tropical geometry; L^2-estaimtes; Legendre transform; intersection theory; real Monge-Ampere operators; plurisubharmonic functions; integrability index; L^2-estaimtes;

    Abstract : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. READ MORE

  4. 2. Residue currents on singular varieties

    Author : Richard Lärkäng; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; weakly holomorphic functions; duality theorem; Coleff-Herrera products; Bochner-Martinelli currents; residue currents; singular varieties; analytic spaces; local analytic geometry; residue currents;

    Abstract : This thesis concerns various aspects of the theory of residue currents. Particularly, we study residue currents on singular varieties and duality theorems for such currents. On a singular variety, there are various notions of holomorphic functions. READ MORE

  5. 3. On the Extension and Wedge Product of Positive Currents

    Author : Ahmad Khalid Al Abdulaali; Jan-Erik Björk; Hassine El Mir; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Closed positive currents; plurisubharmonic currents; plurisubharmonic functions; pluripolar sets; k-convex functions; wedge product of currents; Mathematics; matematik;

    Abstract : This dissertation is concerned with extensions and wedge products of positive currents. Our study can be considered as a generalization for classical works done earlier in this field. Paper I deals with the extension of positive currents across different types of sets. READ MORE

  6. 4. Residue currents on analytic spaces

    Author : Richard Lärkäng; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem; weakly holomorphic functions;

    Abstract : This thesis concerns residue currents on analytic spaces. In the first paper, we construct Coleff-Herrera products and Bochner-Martinelli type currents associated with a weakly holomorphic mapping, and show that these currents satisfy well-known properties from the strongly holomorphic case. READ MORE

  7. 5. Interacting electrons and persistent currents

    Author : Peter Sandström; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; interacting electrons; persistent currents; Wigner crystal; Aharonov-Bohm effect; Luttinger liquid; one dimension;

    Abstract : .... READ MORE