BERGMAN-SZEGŐ ASYMPTOTIC FORMULAS AND THE STRIP PROBLEM


Lawrence M.G.
March 2024Springer

Journal of Mathematical Sciences (United States)
2024#280Issue 1109 - 116 pp.

Let Ct be the translate of a fixed curve in a horizontal strip. When a function has holomorphic extensions from each Ct, it is sometimes possible to deduce that the function is holomorphic. We improve previous results to a weighted L2 setting. This implies the existence of novel asymptotic expressions for Bergman projections, using szegö operators on the curves. Some examples in higher dimensions are demonstrated.

Bergman projection , CR wedge extension , Szegő projection

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Nazarbayev University, Astana, Kazakhstan

Nazarbayev University

10 лет помогаем публиковать статьи Международный издатель

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