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Nowhere differentiable functions of analytic type on products of finitely connected planar domains
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Mastrantonis, Vlasios and Panagiotis, Christoforos (2018) Nowhere differentiable functions of analytic type on products of finitely connected planar domains. Monatshefte fur Mathematik, 187 (2). pp. 327-341. doi:10.1007/s00605-017-1129-8 ISSN 0026-9255.
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Official URL: http://dx.doi.org/10.1007/s00605-017-1129-8
Abstract
Using Laurent decomposition and Mergelyan’s theorem combined with Baire’s category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of analytic type on products of planar domains bounded by finitely many disjoint Jordan curves. The parametrization of the boundaries are those induced by the natural Riemann maps.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Differentiable functions, Baire spaces | ||||||||
| Journal or Publication Title: | Monatshefte fur Mathematik | ||||||||
| Publisher: | Springer Vienna | ||||||||
| ISSN: | 0026-9255 | ||||||||
| Official Date: | October 2018 | ||||||||
| Dates: |
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| Volume: | 187 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 327-341 | ||||||||
| DOI: | 10.1007/s00605-017-1129-8 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 13 November 2017 | ||||||||
| Date of first compliant Open Access: | 13 November 2017 | ||||||||
| RIOXX Funder/Project Grant: |
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