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Generalized function

In mathematics, generalized functions are objects extending the notion of functions on real or complex numbers. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful for treating discontinuous functions more like smooth functions, and describing discrete physical phenomena such as…

History, Some early history & Algebras of generalized functions

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Overview

Some early history

Schwartz distributions

Algebras of generalized functions

Other theories

Topological groups

Generalized section

Books

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Generalized function

Nodes109
Edges108
Triples122
Avg. degree1.98
Density0.018349
Components1

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Generalized function

Top relations

related to Books · 77
Generalized function → Academic Press, American Mathematical Society, An, Archived, Asymptotic, Birkhäuser Boston, Colombeau, Concepts, Demidov, Distributions, Drozhzhinov, Elsevier, Estrada, Financial Markets, Francis, Gelʹfand, Generalized Functions, Geometric, Grosser, Hermann
related to Algebras of generalized functions · 12
Generalized function → Another, Chervyakov, Demidov's, Egorov, Kleinert, One, Schrödinger, Since, Some, The, This, Yu
related to history · 11
Generalized function → An, Fourier, Green's, In, Laplace, Oliver Heaviside's Electromagnetic Theory, Riemann's, Since, The, These, They
related to Multiplication of distributions · 9
Generalized function → Another, Colombeau, Colombeau's, Egorov, Schwartz, The, These, Various, Yu
related to Non-commutative algebra of generalized functions · 5
Generalized function → Few, However, Note, Such, The
related to Sheaf structure · 4
Generalized function → For, Gs, If, This
related to Microlocal analysis · 3
Generalized function → Lars Hörmander's, The Fourier, This

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Important terminology

generalized functions theory distributions function isbn algebra one multiplication schwartz differential analysis mathematics smooth example oclc algebras also theories support

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
point chargesinstance ofand describing discrete physical phenomena0.80text
Generalized functionrelated to Algebras of generalized functionsSome0.60section
Generalized functionrelated to Algebras of generalized functionsOne0.60section
Generalized functionrelated to Algebras of generalized functionsYu0.60section
Generalized functionrelated to Algebras of generalized functionsEgorov0.60section
Generalized functionrelated to Algebras of generalized functionsDemidov's0.60section
Generalized functionrelated to Algebras of generalized functionsAnother0.60section
Generalized functionrelated to Algebras of generalized functionsSince0.60section
Generalized functionrelated to Algebras of generalized functionsSchrödinger0.60section
Generalized functionrelated to Algebras of generalized functionsThis0.60section
Generalized functionrelated to Algebras of generalized functionsKleinert0.60section
Generalized functionrelated to Algebras of generalized functionsChervyakov0.60section

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