Parametric symplectic jet interpolation
Abstract We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of $$\mathbb {C}^{2n}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> </mml:math> with parameters in a Stein space. Moreover, we provide an example of an unavoidable set for symplectic holomorphic maps.
Authors
- Rafael B. Andrist (ORCID: https://orcid.org/0000-0001-5190-3486)
- Josua Schott (ORCID: https://orcid.org/0000-0002-7039-6333)
- Frank Kutzschebauch (ORCID: https://orcid.org/0000-0003-2272-8687)
- Gaofeng Huang (ORCID: https://orcid.org/0009-0009-3837-4650)
Institutions
- University of Bern (CH)
- University of Ljubljana (SI)
Publication Details
- Journal
- Analysis and Mathematical Physics
- Published
- 2025-01-27
- DOI
- https://doi.org/10.1007/s13324-025-01015-3
- Primary Topic
- Electromagnetic Simulation and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University of Bern
- European Commission
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Javna Agencija za Raziskovalno Dejavnost RS