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Spaces of Whitney Functions with Basis
Author(s) -
Goncharov Alexander P.
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200012)220:1<45::aid-mana45>3.0.co;2-x
Subject(s) - mathematics , basis (linear algebra) , convolution (computer science) , scaling , chebyshev filter , chebyshev polynomials , construct (python library) , sequence (biology) , pure mathematics , property (philosophy) , point (geometry) , mathematical analysis , geometry , philosophy , epistemology , machine learning , biology , artificial neural network , computer science , genetics , programming language
We construct a basis in the spaces ofWhitney functions ℰ( K ) for two model cases, where K ⊂ ℝ is a sequence of closed intervals tending to a point. In the proofwe use a convolution property for the coefficients of scaling Chebyshev polynomials.