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Mollifier

In mathematics, mollifiers (also known as approximations to the identity) are particular smooth functions, used for example in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. Intuitively, given a (generalized) function, convolving it with a mollifier "mollifies" it, that is…

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Mollifier

Nodes45
Edges44
Triples95
Avg. degree1.96
Density0.044444
Components1

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Mollifier

Top relations

related to References · 55
Mollifier → American Mathematical Society, Applied Mathematics, Basel-Boston-Stuttgart, Berlin-Heidelberg-New York, Birkhäuser Verlag, Boston-Basel-Stuttgart, Cathleen, Communications, Contemporary Mathematicians, CS1, David Isaacson, Enrico, French, Friedrichs, Fritz John, Giusti, Grundlehren, Harold Weitzner, Hörmander, ISBN
related to Historical notes · 17
Mollifier → According, Donald Alexander Flanders, English, Flanders, Friedrichs, Kurt Otto Friedrichs, Moll, Moll Flanders, Mollifiers, Peter Lax, Previously, Selecta, Sergei Sobolev, Sobolev, Sobolev's, The, These
related to Notes on Friedrichs' definition · 8
Mollifier → As, Banach, Friedrichs, Hilbert, Historical, Note, This, When
related to Modern (distribution based) definition · 6
Mollifier → Definition, Dirac, Let, Schwartz, The, Then
related to "Weak=Strong" theorems · 3
Mollifier → Friedrichs, Mollifiers, The
related to Concrete example · 2
Mollifier → Consider, This
related to Product of distributions · 2
Mollifier → Given, In
has application · 1
Mollifier → The
related to Properties · 1
Mollifier → All

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Important terminology

function mollifiers smooth friedrichs displaystyle convolution generalized functions used also distributions varphi zbl distribution paper epsilon given differential one kurt

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mollifierhas applicationThe0.60section
Mollifierrelated to "Weak=Strong" theoremsMollifiers0.60section
Mollifierrelated to "Weak=Strong" theoremsThe0.60section
Mollifierrelated to "Weak=Strong" theoremsFriedrichs0.60section
Mollifierrelated to Concrete exampleConsider0.60section
Mollifierrelated to Concrete exampleThis0.60section
Mollifierrelated to Historical notesMollifiers0.60section
Mollifierrelated to Historical notesKurt Otto Friedrichs0.60section
Mollifierrelated to Historical notesFriedrichs0.60section
Mollifierrelated to Historical notesThe0.60section
Mollifierrelated to Historical notesPeter Lax0.60section
Mollifierrelated to Historical notesSelecta0.60section

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