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Träfflista för sökning "WFRF:(Boo Jörgen 1961) "

Search: WFRF:(Boo Jörgen 1961)

  • Result 1-4 of 4
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1.
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2.
  • Boo, Jörgen, 1961 (author)
  • Quadratic convexity
  • 1993
  • Licentiate thesis (other academic/artistic)
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3.
  • Boo, Jörgen, 1961 (author)
  • Some Applications of Integral Formulas in Several Complex Variables
  • 1996
  • Doctoral thesis (other academic/artistic)abstract
    • The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. A quadratically convex set is called strongly quadratically convex if a certain generalization of the Fantappie transform (related to the set) is surjective. In the first paper, we prove that certain sets are strongly quadratically convex, and use the Cauchy-Fantappie-Leray integral representation formula for holomorphic functions to obtain an explicit inversion formula for the related transform. Let D be a domain in Cn. Assume that the functions g1,...,gm are holomorphic and bounded in D, and that there is a constant .delta. such that 0<.delta.<=|g1|+...+|gm|. The Hp corona problem in D is the following: Given f in Hp(D), find ui in Hp(D) such that f=g1 u1+...+gm um. In the second paper, we use a weighted integral representation formula for holomorphic functions to solve this problem in the case where D is a non-degenerate analytic polyhedron. In the third paper, we study solution operators for the d-bar operator that are canonical with respect to a certain metric in strictly pseudoconvex domains. Some features of the metric and the canonical operators are investigated. We show that certain known explicit solution operators in a sense approximately are the canonical ones. This enables us to draw conclusions concerning e.g. regularity properties of the canonical operators.
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4.
  • Boo, Jörgen, 1961 (author)
  • Some Applications of Integral Formulas in Several Complex Variables
  • 1996
  • Doctoral thesis (other academic/artistic)abstract
    • The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. A quadratically convex set is called strongly quadratically convex if a certain generalization of the Fantappie transform (related to the set) is surjective. In the first paper, we prove that certain sets are strongly quadratically convex, and use the Cauchy-Fantappie-Leray integral representation formula for holomorphic functions to obtain an explicit inversion formula for the related transform. Let D be a domain in Cn. Assume that the functions g1,...,gm are holomorphic and bounded in D, and that there is a constant .delta. such that 0
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  • Result 1-4 of 4
Type of publication
doctoral thesis (2)
other publication (1)
licentiate thesis (1)
Type of content
other academic/artistic (4)
Author/Editor
Boo, Jörgen, 1961 (4)
Andersson, Mats, 195 ... (1)
University
University of Gothenburg (3)
Chalmers University of Technology (3)
Language
English (4)
Research subject (UKÄ/SCB)
Natural sciences (4)

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