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See Also: example of Dirac sequence, discrete time Fourier transform in relation with continuous time Fourier transform

Other names:  generalized function
Also defines:  distribution of finite order

Attachments:
every locally integrable function is a distribution (Theorem) by matte
proof of convergence theorem (Proof) by matte
delta distribution (Definition) by matte
Cauchy principal part integral (Definition) by mathcam
localization for distributions (Definition) by drini
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Cross-references: action, converges, topology, weak topology, standard topology, smooth, measure, inequality, equivalence, proof, supremum norm, multi-index, sequence, the following are equivalent, origin, linear functional, functional, continuous, compact set, subset, open set, smooth functions with compact support, topological vector space, product, currents, coefficients, differential forms, manifold, coordinate, induces, map, delta distribution, real number, support, compact, smooth function, linear mapping, infinite, constant function, discontinuous, Dirac delta function, step function, objects, operation, limit, operators, spaces of functions, structures, singular, Fourier transform, convolution, derivative, functions, linear operators, theory
There are 49 references to this entry.

This is version 14 of distribution, born on 2003-07-06, modified 2007-09-17.
Object id is 4427, canonical name is Distribution4.
Accessed 11802 times total.

Classification:
AMS MSC46F05 (Functional analysis :: Distributions, generalized functions, distribution spaces :: Topological linear spaces of test functions, distributions and ultradistributions)
 46-00 (Functional analysis :: General reference works )

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