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Book
Algebra 3 : homological algebra and its applications
Author:
ISBN: 9813363266 9813363258 Year: 2021 Publisher: Singapore : Springer,


Book
Introduction of infinity-categories
Author:
ISBN: 3030615243 3030615235 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,


Book
A handbook of model categories
Author:
ISBN: 3030750353 3030750345 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday
Author:
ISBN: 3030638480 3030638499 Year: 2022 Publisher: Cham, Switzerland : Springer,


Book
New directions in function theory : from complex to hypercomplex to non-commutative : Chapman University, November 2019
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ISBN: 3030764729 3030764737 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,


Book
Operator theory, functional analysis and applications
Authors: --- ---
ISBN: 3030519457 3030519449 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Functional Analysis : Fundamentals and Applications
Author:
ISBN: 9783031091490 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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Abstract

This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics. The second edition of Functional Analysis includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.


Periodical
Geometric and functional analysis : GAFA.
ISSN: 14208970 1016443X Year: 1991 Publisher: Basel ; Boston : Birkhäuser

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