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Showing result 1 - 5 of 35 swedish dissertations matching the above criteria.

  1. 1. 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

  2. 2. 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

  3. 3. Positive currents related to polynomial convexity

    Author : Ewa Bergqvist; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : .... READ MORE

  4. 4. Mathematics and mathematics education - two sides of the same coin : creative reasoning in university exams in mathematics

    Author : Ewa Bergqvist; Johan Lithner; Peter Nyström; Christer Bergsten; Umeå universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Polynomial convexity; Positive currents; Jensen measures; Mathematical reasoning; assessment; university level; Subject didactics; Ämnesdidaktik;

    Abstract : Avhandlingen består av två ganska olika delar som ändå har en del gemensamt. Del A är baserad på två artiklar i matematik och del B är baserad på två matematikdidaktiska artiklar. De matematiska artiklarna utgår från ett begrepp som heter polynomkonvexitet. READ MORE

  5. 5. On the approximation of positive, closed (1.1)-currents by analytic varieties

    Author : Vincent Guedj; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE