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arXiv · 2307.05264

Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem

William L. Blair
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Abstract

We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic functions. Also, we solve a generalization of the higher-order Schwarz boundary value problem in the context of meta-analytic functions with boundary conditions that are boundary values in the sense of distributions.

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William L. Blair. 2023-07-11. Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem. https://doi.org/10.1007/s40627-024-00139-9

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