Extensions of holomorphic functions of bounded type on Banach Spaces

• Grant number: 14/07373-0
• Support Opportunities: Scholarships abroad - Research
• Start date: July 21, 2014
• End date: September 20, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Daniela Mariz Silva Vieira
• Grantee: Daniela Mariz Silva Vieira
• Host Investigator: Daniel German Carando
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Universidad de Buenos Aires (UBA), Argentina

Abstract

This project aims to study holomorphic extensions of holomorphic functions of bounded type on an open subset U of a Banach space E, to open subsets of the bidual of E, containing U. It is of interest to investigate the existence of such open set, which is the biggest open set with this property, and if the extensions are of bounded type. We intend to explore this problem using the concept of extensions morphisms of Riemann domains. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GARCIA, DOMINGO; MAESTRE, MANUEL; VIEIRA, DANIELA M.. On the Banach-Stone theorem for algebras of holomorphic germs. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v. 111, n. 1, p. 223-230, JAN 2017. (14/07373-0)

CARANDO, DANIEL; MURO, SANTIAGO; VIEIRA, DANIELA M.. THE ALGEBRA OF BOUNDED-TYPE HOLOMORPHIC FUNCTIONS ON THE BALL. Proceedings of the American Mathematical Society, v. 148, n. 6, p. 2447-2457, JUN 2020. (14/07373-0)