Partitions of Unity and Approximation
نویسندگان
چکیده
We show that for certain translation invariant spaces 5, a necessary and sufficient condition for the eventual denseness of the corresponding scaled spaces Sh is that S contain a stable and locally supported partition of unity. These results have been motivated by recent work on approximation by multivariate piecewise polynomials on regular meshes.
منابع مشابه
On Approximation of Copulas
New sufficient conditions for strong approximation of copulas, generated by sequences of partitions of unity, are given. Results are applied to the checkerboard and Bernstein approximations.
متن کاملStrong Approximation of Copulas
We introduce strong convergence in regard to approximation of copulas. This new type of convergence is useful in dealing with the-product of Darsow, Nguyen, and Olsen for copulas. We also provide tools for constructing strong approximations of copulas by using partitions of unity.
متن کاملA fast, discrete Gabor transform via a partition of unity
A partition of unity on the d-dimensional integer lattice Z is used to create a generalized discrete Gabor transform, with analysis and synthesis windows of smooth, desirable characteristics. Factorizing the partition of unity allows for different choices of analysis and synthesis windows, a transformation on general lattices in the time and frequence domains is considered, and an approximate p...
متن کاملA formula of Lascoux-Leclerc-Thibon and representations of symmetric groups
We consider Green polynomials at roots of unity, corresponding to partitions which we call l-partitions. We obtain a combinatorial formula for Green polynomials corresponding to l-partitions at primitive lth roots of unity. The formula is rephrased in terms of representation theory of the symmetric group.
متن کاملThe Iinterpretative Analysis of Verse 213 of Chapter Bagherah in Fariqain (Sunni and Shia) Interpretations
The issue of the unity and difference of humans is rooted in the history of man’s social life, and this is the basis for the emergence of divine prophets and the revelation of the heavenly books. With a brief overview of this issue, Verse 213 of chapter Bagherah explains the evolution of human thought in different stages. There are many ambiguities about the nature of the basis of unity, the ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010