A Course on Function Spaces

Name: A Course on Function Spaces
Brand: Springer
SKU: 9783030806422
Price: 320.98 RON
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Autor: Dominic Breit, Franz Gmeineder

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Editura: Springer

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320.98 lei

This textbook provides a thorough-yet-accessible introduction to function spaces, through the centra...

Informații despre carte

Autor

Dominic Breit, Franz Gmeineder

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2023

Pagini

815

EAN

9783030806422

ISBN

3030806421

Enbook ID

37629165

Editura

Springer

Dimensiuni

155 x 235

Descriere completă

This textbook provides a thorough-yet-accessible introduction to function spaces, through the central concepts of integrability, weakly differentiability and fractionally differentiability. In an essentially self-contained treatment the reader is introduced to Lebesgue, Sobolev and BV-spaces, before being guided through various generalisations such as Bessel-potential spaces, fractional Sobolev spaces and Besov spaces. Written with the student in mind, the book gradually proceeds from elementary properties to more advanced topics such as lower dimensional trace embeddings, fine properties and approximate differentiability, incorporating recent approaches. Throughout, the authors provide careful motivation for the underlying concepts, which they illustrate with selected applications from partial differential equations, demonstrating the relevance and practical use of function spaces.Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the opening chapters, A Course in Function Spaces is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.

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A Course on Function Spaces

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