Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909354957996032 |
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| author | Blair, William L. |
| author_facet | Blair, William L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05264 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem Blair, William L. Complex Variables Analysis of PDEs Functional Analysis 30E25, 30G20, 30H10, 35G15, 46F20 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. |
| title | Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem |
| topic | Complex Variables Analysis of PDEs Functional Analysis 30E25, 30G20, 30H10, 35G15, 46F20 |
| url | https://arxiv.org/abs/2307.05264 |