Author | Andersson, Mats. author |
---|---|
Title | Complex Convexity and Analytic Functionals [electronic resource] / by Mats Andersson, Ragnar Sigurdsson, Mikael Passare |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7871-5 |
Descript | XI, 164 p. online resource |
1 Convexity in Real Projective Space -- 1.1 Convexity in real affine space -- 1.2 Real projective space -- 1.3 Convexity in real projective space -- 2 Complex Convexity -- 2.1 Linearly convex sets -- 2.2 ?-convexity: Definition and examples -- 2.3 ?-convexity: Duality and invariance -- 2.4 Open ?-convex sets -- 2.5 Boundary properties of ?-convex sets -- 2.6 Spirally connected sets -- 3 Analytic Functionals and the Fantappiรจ Transformation -- 3.1 The basic pairing in affine space -- 3.2 The basic pairing in projective space -- 3.3 Analytic functionals in affine space -- 3.4 Analytic functionals in projective space -- 3.5 The Fantappiรจ transformation -- 3.6 Decomposition into partial fractions -- 3.7 Complex Kergin interpolation -- 4 Analytic Solutions to Partial Differential Equations -- 4.1 Solvability in ?-convex sets -- 4.2 Solvability and P-convexity for carriers -- References