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- W2952730161 abstract "We reveal a complex analogue to a result about polynomial solutions to the Dirichlet Problem on ellipsoids in $mathbb{R}^n$ by showing that the Bergman projection on any ellipsoid in $mathbb{C}^n$ is such that the projection of any polynomial function of degree at most $N$ is a holomorphic polynomial function of degree at most $N$. The discussion is motivated by a connection between the Bergman projection and the Khavinson-Shapiro conjecture in $mathbb{C}$. We also relate the Khavinson-Shapiro conjecture to polyharmonic Bergman projections in $mathbb{R}^n$ by showing that these projections take polynomials to polynomials on ellipsoids." @default.
- W2952730161 created "2019-06-27" @default.
- W2952730161 creator A5068145146 @default.
- W2952730161 date "2015-04-17" @default.
- W2952730161 modified "2023-09-27" @default.
- W2952730161 title "The Khavinson-Shapiro Conjecture for the Bergman Projection in One and Several Complex Variables" @default.
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- W2952730161 hasPublicationYear "2015" @default.
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