Open AccessOn differentiation of integrals
Author(s) -
Antonio Córdoba,
Robert Fefferman
Publication year - 1977
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.6.2211
Subject(s) - basis (linear algebra) , set (abstract data type) , mathematics , slater integrals , basis function , computer science , mathematical analysis , geometry , programming language
A technique is introduced to relate differentiation and covering properties of a basis. In particular, we find that the basis associated with a sparse set of directions differentiates integrals of functions locally inL 2 .