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Harmonic Conjugates in Weighted Bergman Spaces of Quaternion-Valued Functions

✍ Scribed by Karen Avetisyan, Klaus Gürlebeck…

Book ID
120888148
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
208 KB
Volume
9
Category
Article
ISSN
1617-9447

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Sampling in Weighted Lp Spaces of Entire
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✍ Niklas Lindholm 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 249 KB

The necessary density condition in C known for sampling and interpolation in the L p space of entire functions with a subharmonic weight is extended to the case of a 2-homogeneous, plurisubharmonic weight function in C. The method is by estimating the eigenvalues of a certain Toeplitz concentration