The Poly-Cauchy Operator, Whitney Arrays, and Fatou Theorems for Polyanalytic Functions in Uniformly Rectifiable Domains

J. Kyeong (), D. Mitrea (), I. Mitrea () and M. Mitrea ()
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J. Kyeong: Temple University
D. Mitrea: Baylor University
I. Mitrea: Temple University
M. Mitrea: Baylor University

Chapter Chapter 14 in Integral Methods in Science and Engineering, 2023, pp 165-177 from Springer

Abstract: Abstract We present a higher-order generalization of the classical theory pertaining to boundary behavior of holomorphic functions, for null-solutions of iterations of the Cauchy-Riemann operator in uniformly rectifiable domains in the complex plane.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-34099-4_14

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DOI: 10.1007/978-3-031-34099-4_14

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