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Democracy for a collection of translates of a function.

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Eugenio Hernández, Universidad Autónoma de Madrid

What
  • Analysis Seminar
When Tue, Jan 22, 2008
from 02:10 PM to 03:00 PM
Where RH 30
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The democratic property of a basis in a Banach space is closely related to the near-best approximation property of the basis for N-term non-linear approximation. Also, principal shift invariant subspaces in L2(R) are central in the theory of wavelets. These are generated by the integer translates of a function in L2(R). We will study under which conditions the system of integer translates of a function is a democratic collection in L2(R). The problem is still unsolved.

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