Functional Analysis : Fundamentals and Applications / / by Michel Willem

• Autore: Willem Michel
• Pubblicazione: New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2013
• Edizione: 1st ed. 2013.
• Descrizione fisica: 1 online resource (220 p.)
• Disciplina: 510
• Soggetto topico: Functional analysis; Mathematical analysis; Analysis (Mathematics); Differential equations, Partial; Mathematics; Functional Analysis; Analysis; Partial Differential Equations; Mathematics, general
• Note generali: Description based upon print version of record.
• Nota di contenuto: Preface -- The Integral -- Norm -- Lebesgue Spaces -- Duality -- Sobolev Spaces -- Capacity -- Elliptic Problems -- Appendix -- Epilogue -- References -- Index of Notations -- Index.
• Sommario/riassunto: The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: 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 with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.
• Titolo autorizzato: Functional Analysis
• ISBN: 1-4614-7004-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910438033703321
• Lo trovi qui: Univ. Federico II
• Serie: Cornerstones, . 2197-182X