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A Course on Function Spaces I: Continuous and Integrable Functions
Wydawca: Springer Nature Switzerland AG
Data wydania: 25.08.2026
Seria: Universitext
Typ okładki:miękka okładka
EAN: 9783030806422
Opis
Opis
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.
Designed with the student in mind, this self-contained volume offers multiple syllabi, guiding readers from elementary properties to advanced topics. Visual learners will appreciate the inclusion of figures summarising key outcomes, proof strategies, and 'metaprinciples'. Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the first chapters, this volume is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.
Producent/osoba odpowiedzialna za bezpieczeństwo produktu
Springer Nature Customer Service Center GmbH
Europaplatz 3,69115 Heidelberg, Germany
69115 Heidelberg
ProductSafety@springernature.com
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.
Designed with the student in mind, this self-contained volume offers multiple syllabi, guiding readers from elementary properties to advanced topics. Visual learners will appreciate the inclusion of figures summarising key outcomes, proof strategies, and 'metaprinciples'. Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the first chapters, this volume is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.
Producent/osoba odpowiedzialna za bezpieczeństwo produktu
Springer Nature Customer Service Center GmbH
Europaplatz 3,69115 Heidelberg, Germany
69115 Heidelberg
ProductSafety@springernature.com
Szczegóły
Szczegóły
Data wydania: 25.08.2026
Liczba stron: 800
Wymiary: 15.5x23.5
Typ okładki:miękka okładka
Wydawca: Springer Nature Switzerland AG
Seria: Universitext
Tytuł:A Course on Function Spaces I: Continuous and Integrable Functions
EAN: 9783030806422
Recenzje
Recenzje
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Nasza cena:256,97 zł
Cena katalogowa dostawcy: 281,90 zł
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