proyectos

Complex analysis, Banach spaces, and operators

PI1: Manuel D. Contreras Márquez PI2: Luis Rodríguez Piazza Abstract: The aim of this project is to develop several research topics in the frame of Mathematical Analysis touching different areas as complex variable, operator theory, number theory, geometry of Banach spaces and differential equations. More specifically, we address the following topics: 1. Problems of Loewner Theory where aspects …

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Loewner theory, dynamics and analytic functions

PI: Contreras Márquez, Manuel D. Abstract:  Source of Funding: 2009 National Plan / MTM2009-14694-C02-02 Implied entities: Universidad de Sevilla, Tor Vergata University  (Rome, Italy), Technical University of Berlin (Germany)   iMAT research line:  ⊕ RL10. Mathematical Analysis          Researchers: Manuela BasalloteFilippo Bracci (Tor Vergata University, Rome)Santiago Díaz MadrigalCarmen Hernández ManceraChristian Pommerenke (Technical University of Berlin).    …

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Linear Operators and Spaces of Analytical Functions

PI: Santiago Díaz Madrigal Abstract: In the context of the theory of linear operators, the main aim of the project was the study of different structural and dynamical properties of  those semigroups of composition operators linked to semigroups of holomorphic self-maps of the unit disc.  Implied entities: Universidad de Sevilla iMAT research line:  ⊕ RL10. Mathematical …

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Harmonic Analysis and Banach spaces

PI: Carlos Pérez Moreno (del 01/01/2013 al 30/09/2014) PI2: Luis Rodríguez Piazza (del 01/10/2014 al 31/12/2015)  Abstract: In this project we propose several lines of research included mainly within the topics of Harmonic and Functional Analysis. More precisely and within the first area, we study problems related with the following topics: singular Integrals and weighted theory (growth …

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Complex analysis, Banach spaces, and convexity

PI1: Manuel D. Contreras Márquez PI2: Luis Rodríguez Piazza Abstract: The aim of this project is to develop several research topics in the frame of Mathematical Analysis touching different areas as complex variable, operator theory, geometry of Banach spaces, differential equations, and convex geometry. More specifically, we address the following topics: 1. Problems of Loewner theory where …

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Applications of Functional Analysis to the resolution of Nonlinear Problems, Convex Optimization and Lineability

PIs (subproject 1): Genaro López Acedo, Rafael Espínola PI (subproject 2): Jesús García Falset Abstract: This Project takes up several problems where the application of tools originally provided by Functional Analysis is fundamental for the approaches we follow. A common feature to these problems is the relevance of the geometry of the environment spaces as …

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Some applications of the Functional Analysis to solve nonlinear equations, optimization problems and cyclicity problems

PI (subproject 1): Genaro López Acedo PI (subproject 2): Jesús García Falset Abstract: In this Project, different classes of linear and nonlinear operators are studied at the time that connections among several branches of Mathematical Analysis such as Geometry of Banach and Metric Spaces, Metric and Topological Fixed Point Theory, Optimization, Cyclic Operators and Linearity …

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Collective Decisions in Competitive and Collective Contexts

PI: Amparo María Mármol Conde Abstract: The general aim of this project is the investigation of collective decision-making where the interaction between the agents involved is a relevant issue and has an important effect on the results. These situations are common in numerous economic, social and political environments and can be represented by strategic and cooperative …

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Algebraic Topology for Combinatorial Analysis of Images

PI: Rocío González Díaz Abstract: The field of image analysis is concerned with analysing and extracting information from images, as a whole, and the objects within, as its parts. Combinatorial image analysis, a subfield of image analysis, studies combinatorial properties of digital images (more generally any digital data-set). Algebraic topology is a field of mathematics concerned …

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