Bergman Spaces

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev

Chapter Chapter 10 in An Advanced Complex Analysis Problem Book, 2015, pp 461-474 from Springer

Abstract: Abstract As already said, Bergman spaces seem to form the first example of reproducing kernel Hilbert spaces of analytic functions. In this chapter we discuss the case of the disk and the polyanalytic cases. More involved cases, such as the annulus and the ellipse, are only mentioned en passant. We urge the reader to look at these cases.

Date: 2015
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DOI: 10.1007/978-3-319-16059-7_10

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