Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Functional_analysis> ?p ?o. }
Showing items 1 to 45 of
45
with 100 items per page.
- Functional_analysis abstract "Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.The usage of the word functional goes back to the calculus of variations, implying a function whose argument is a function and the name was first used in Hadamard's 1910 book on that subject. However, the general concept of functional had previously been introduced in 1887 by the Italian mathematician and physicist Vito Volterra. The theory of nonlinear functionals was continued by students of Hadamard, in particular Fréchet and Lévy. Hadamard also founded the modern school of linear functional analysis further developed by Riesz and the group of Polish mathematicians around Stefan Banach.In modern introductory texts to functional analysis, the subject is seen as the study of vector spaces endowed with a topology, in particular infinite dimensional spaces. In contrast, linear algebra deals mostly with finite dimensional spaces, and does not use topology. An important part of functional analysis is the extension of the theory of measure, integration, and probability to infinite dimensional spaces, also known as infinite dimensional analysis.".
- Functional_analysis thumbnail Drum_vibration_mode12.gif?width=300.
- Functional_analysis wikiPageExternalLink www.coursera.org.
- Functional_analysis wikiPageExternalLink functionalanalysis.
- Functional_analysis wikiPageExternalLink Theory-of-Linear-Operations--Volume-38--North-Holland-Mathematical-Library--by-S--Banach_134628.html.
- Functional_analysis wikiPageExternalLink Calculus%20and%20Analysis%20Earliest%20Uses.htm.
- Functional_analysis wikiPageExternalLink index.html.
- Functional_analysis wikiPageExternalLink Functional_Analysis.pdf.
- Functional_analysis wikiPageExternalLink ~gmorrow.
- Functional_analysis wikiPageExternalLink playlist?list=PLE1C83D79C93E2266.
- Functional_analysis wikiPageID "11180".
- Functional_analysis wikiPageRevisionID "603876557".
- Functional_analysis hasPhotoCollection Functional_analysis.
- Functional_analysis id "p/f042020".
- Functional_analysis title "Functional analysis".
- Functional_analysis subject Category:Functional_analysis.
- Functional_analysis comment "Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.".
- Functional_analysis label "Analisi funzionale".
- Functional_analysis label "Analiza funkcjonalna".
- Functional_analysis label "Analyse fonctionnelle (mathématiques)".
- Functional_analysis label "Análise funcional".
- Functional_analysis label "Análisis funcional".
- Functional_analysis label "Functionaalanalyse".
- Functional_analysis label "Functional analysis".
- Functional_analysis label "Funktionalanalysis".
- Functional_analysis label "Функциональный анализ".
- Functional_analysis label "تحليل دالي".
- Functional_analysis label "泛函分析".
- Functional_analysis label "関数解析学".
- Functional_analysis sameAs Funkcionální_analýza.
- Functional_analysis sameAs Funktionalanalysis.
- Functional_analysis sameAs Análisis_funcional.
- Functional_analysis sameAs Analyse_fonctionnelle_(mathématiques).
- Functional_analysis sameAs Analisi_funzionale.
- Functional_analysis sameAs 関数解析学.
- Functional_analysis sameAs 함수해석학.
- Functional_analysis sameAs Functionaalanalyse.
- Functional_analysis sameAs Analiza_funkcjonalna.
- Functional_analysis sameAs Análise_funcional.
- Functional_analysis sameAs m.02_f0.
- Functional_analysis sameAs Q190549.
- Functional_analysis sameAs Q190549.
- Functional_analysis wasDerivedFrom Functional_analysis?oldid=603876557.
- Functional_analysis depiction Drum_vibration_mode12.gif.
- Functional_analysis isPrimaryTopicOf Functional_analysis.