Conformal Mappings and Boundary Value Problems.
Final technical rept. Jul 75-Oct 76,
TEL-AVIV UNIV (ISRAEL)
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Three principal areas of investigation are as follows 1 Kernel functions and related areas, Results have been obtained on polynomial density in Bers Spaces, Berman Spaces over multiply-connected domains, Total Positively and reproducing kernels, Szego kernels and the Riesz projection theorem and Metric on Annuli 2 BVP Boundary Value Problems, and IVP Initial Value Problems, Study has been undertaken of transforming BVP into IVP. In particular, a method whereby a well-posed elliptic boundary-value problem of the Dirichlet type is transformed into a first-order non-linear equation governing the Greens function of an embedded problem is studied and 3 Singularities, The study of smoothings of analytic singularities is discussed. In particular, generalized complete intersections and their spaces of deformations are analyzed.
- Numerical Mathematics