Kansa-RBF algorithms for elliptic problems in regular polygonal domains
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0443-5
Abstract: We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These algorithms exploit the symmetry of… read more here.
Keywords: kansa rbf; polygonal domains; algorithms elliptic; problems regular ... See more keywords
Toeplitz operators on Bergman spaces of polygonal domains
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091519000105
Abstract: Abstract We study the boundedness of Toeplitz operators with locally integrable symbols on Bergman spaces Ap(Ω), 1 < p < ∞, where Ω ⊂ ℂ is a bounded simply connected domain with polygonal boundary. We… read more here.
Keywords: operators bergman; bergman spaces; toeplitz operators; spaces polygonal ... See more keywords
Berezin transform and Toeplitz operators on polygonal domains
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DOI: 10.1080/17476933.2021.1978437
Abstract: We consider reflexive Bergman spaces on polygonal domains Ω of the complex plane. With some restrictions to the angles of the boundary of Ω, we show that the boundedness of the Toeplitz operator with a… read more here.
Keywords: berezin transform; transform toeplitz; toeplitz operators; polygonal domains ... See more keywords