Erik Løw

• Ivarsson, Björn; Kutzschebauch, Frank & Løw, Erik (2023). HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp<inf>4</inf>(C). Analysis & PDE. ISSN 2157-5045. 16(1), s. 233–277. doi: 10.2140/apde.2023.16.233. Fulltekst i vitenarkiv Vis sammendrag

  We prove that any null-homotopic holomorphic map from a Stein space X to the symplectic group Sp4(C) can be written as a finite product of elementary symplectic matrices with holomorphic entries.

• Ivarsson, Björn; Kutzschebauch, Frank & Løw, Erik (2020). Factorization of symplectic matrices into elementary factors. Proceedings of the American Mathematical Society. ISSN 0002-9939. 148(5), s. 1963–1970. doi: 10.1090/proc/14891. Fulltekst i vitenarkiv
• Løw, Erik; Pereira, Jorge V.; Peters, Han & Wold, Erlend Fornæss (2015). Polynomial completion of symplectic jets and surfaces containing involutive lines. Mathematische Annalen. ISSN 0025-5831. 364(1), s. 519–538. doi: 10.1007/s00208-015-1217-9. Fulltekst i vitenarkiv
• Løw, Erik & Wold, Erlend Fornæss (2009). Polynomial convexity and totally real manifolds. Complex Variables and Elliptic Equations. ISSN 1747-6933. 54(3-4), s. 265–281. doi: 10.1080/17476930902759395. Fulltekst i vitenarkiv
• Kutzschebauch, Frank; Løw, Erik & Wold, Erlend Fornæss (2009). Embedding of some Riemann surfaces into C² with interpolation. Mathematische Zeitschrift. ISSN 0025-5874. 262(3), s. 603–611. doi: 10.1007/s00209-008-0392-8. Fulltekst i vitenarkiv
• Løw, Erik; Øvrelid, Nils & Forstneric, Franc (2001). Solving the d and dibar equations in thin tubes and applications to mappings. The Michigan mathematical journal. ISSN 0026-2285. 49, s. 369–416. Fulltekst i vitenarkiv Vis sammendrag

  We construct a family of integral kernels for solving the dibar-equation with C^k and Hølder estimates in thin tubes around totally real submanifolds in C^n. Combining this with the proof of a theorem of Serre, we solve the d-equation with estimates for holomorphic forms in such tubes. We apply these techniques and a method of Moser to approximate C^k diffeomorphisms between totally real submanifolds in C^n in the C^k topology by biholomorphic mappings in tubes, by unimodular and symplectic biholomorphic mappings, and by automorphisms of C^n.

Se alle arbeider i NVA

• Løw, Erik; Kutzschebauch, Frank & Ivarsson, Björn (2019). The Vaserstein problem for continuous and holomorphic symplectic matrices. Fulltekst i vitenarkiv
• Løw, Erik; Kutzschebauch, Frank & Ivarsson, Björn (2019). Factorization of symplectic matrices. Fulltekst i vitenarkiv
• Løw, Erik & Wold, Erlend Fornæss (2009). Polynomial convexity and totally real manifolds. Fulltekst i vitenarkiv
• Løw, Erik (2009). Andersen-Lempert theory and its many applications. Fulltekst i vitenarkiv
• Løw, Erik & Wold, Erlend Fornæss (2009). Polynomial convexity and totally real manifolds. Fulltekst i vitenarkiv
• Løw, Erik (2007). Embeddings of Stein manifolds with interpolation on discrete sequences. Fulltekst i vitenarkiv
• Løw, Erik; Kutzebauch, Frank & Ivarsson, Björn (2019). Factorization of symplectic matrices into elementary factors. American Mathematical Society (AMS). Fulltekst i vitenarkiv
• Kutzschebauch, Frank; Løw, Erik & Wold, Erlend Fornæss (2007). Embedding of some Riemann surfaces into C² with interpolation. arXiv:math. Fulltekst i vitenarkiv
• Løw, Erik (1982). A CONSTRUCTION OF INNER FUNCTIONS ON THE UNIT BALL IN Cᴾ. Universitetet i Oslo. Fulltekst i vitenarkiv
• Løw, Erik (1981). AN EXPLICIT HOLOMORPHIC MAP OF A BOUNDED DOMAIN IN ℂⁿ WITH C²-BOUNDARY ONTO THE POLYDISC.. Universitetet i Oslo. Fulltekst i vitenarkiv

Se alle arbeider i NVA