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Model Spaces in Analytic Function Theory - Part 1

Offered By: Fields Institute via YouTube

Tags

Analytic Function Spaces Courses Complex Analysis Courses Functional Analysis Courses Hilbert Spaces Courses Operator Theory Courses

Course Description

Overview

Dive into the first part of a mini-course on Model Spaces presented by Stephan Garcia from Pomona College. Explore key concepts in analytic function spaces through this 54-minute lecture, part of the Fields Institute's Focus Program on Analytic Function Spaces and their Applications. Cover essential topics including introduction, overview, notation, model spaces, model space Ku, reproducing kernel, finite and infinite dimensional model spaces, and inner function spectrum. Gain valuable insights into this specialized area of mathematics and prepare for an engaging Q&A session at the end of the presentation.

Syllabus

Introduction
Overview
Notation
Model Spaces
Model Space Ku
Reproducing Kernel
Finite Dimensional Model Spaces
Infinite Dimensional Model Spaces
Inner function spectrum
Questions


Taught by

Fields Institute

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