English Intern
Komplexe Analysis

Moucha, Annika

Annika Moucha

Wissenschaftliche Mitarbeiterin
Lehrstuhl für Mathematik IV
Emil-Fischer-Straße 40
97074 Würzburg
Gebäude: 40 (Mathematik Ost)
Raum: 02.019
Telefon: +49 931 31-88517
Portrait Annika Moucha

Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond, 
(with Michael Heins, Oliver Roth and Toshiyuki Sugawa)
J. d'Analyse Math. 157, 361–400, 2025, Link
see: arxiv.org:2308.01101

Hyperbolic distortion and conformality at the boundary,
(with Pavel Gumenyuk, Maria Kourou and Oliver Roth)
Adv. Math. 470 Article 110251, 2025, Link
arxiv.org:2410.13865

A Burns-Krantz type theorem for Blaschke products,
Proc. Amer. Math Soc. 153, 3137-3151, 2025, Link
arxiv.org:2505.21346

Spectral synthesis of the invariant Laplacian and complexified spherical harmonics,
Stud. Math. 283, 133-175, 2025, Link
arxiv.org:2312.12931

Spectral theory of the invariant Laplacian on the disk and the sphere - a complex analysis approach,
(with Michael Heins and Oliver Roth)
Canadian J. Math. 77, 940-974, 2025  Link
arxiv.org:2312.12900

Function Theory off the complexified unit circle: Fréchet space structure and automorphisms,
(with Michael Heins and Oliver Roth)
Ann. Fenn. Math. 49 no.1, 257-280, 2024  Link
arxiv:2308.01107

A Schwarz-Jack lemma, circularly symmetric domains and numerical ranges, 
(with Javad Mashreghi, Ryan O'Loughlin, Thomas Ransford and Oliver Roth)
J. Math. Anal. Appl., 563, Article 130786, 2026, Link (https://www.sciencedirect.com/science/article/pii/S0022247X26003987?via%3Dihub)
see: arxiv.org:2506.23831

Stability of Blaschke products under forward iteration, 
(with Daniela Kraus  and Oliver Roth)
Bull. Lond. Math. Soc. 58: e70379, 2026, Link (https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.70379)