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A Course on Function Spaces I: Continuous and Integrable Functions

A Course on Function Spaces I: Continuous and Integrable Functions

Paperback

Series: Universitext

General Mathematics

Currently unavailable to order

ISBN10: 3030806421
ISBN13: 9783030806422
Publisher: Springer
Published: Aug 25 2026
Pages: 800
Language: English

This textbook is the first of a two-part set providing a thorough-yet-accessible introduction to the subject of function spaces. In this first volume, spaces of continuous and integrable functions are covered in detail.

Starting from the familiar notions of continuous and smooth functions, the volume gradually progresses to advanced aspects of Lebesgue spaces and their relatives. Key aspects such as basic functional analytic properties, weak convergence and compactness are covered in detail, concluding with an introduction to the fundamentals of real and harmonic analysis. Throughout, the authors provide helpful motivation for the underlying concepts, which they illustrate with selected applications, demonstrating the relevance and practical use of function spaces.

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General Mathematics