Dual Bases in Subspaces

Scott N. Kersey

Dual Bases in Subspaces

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We discuss the construction of bases of functions in subspaces Y of a (finite-dimensional) linear space X that are dual to certain certain subsets of X∗. Or, in inner product spaces, we construct dual basis functions in one subspace Y1 that are dual to bases in a second subspace Y2. The constructions and properties are applied to subspaces of polynomials spaces in the B-form.

Original language	American English
State	Published - Apr 7 2013
Event	Approximation Theory XIV - San Antonio, TX Duration: Apr 7 2013 → …

Conference

Conference	Approximation Theory XIV
Period	04/7/13 → …

Disciplines

Mathematics

Keywords

Dual bases

Cite this

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title = "Dual Bases in Subspaces",

abstract = " We discuss the construction of bases of functions in subspaces Y of a (finite-dimensional) linear space X that are dual to certain certain subsets of X∗. Or, in inner product spaces, we construct dual basis functions in one subspace Y1 that are dual to bases in a second subspace Y2. The constructions and properties are applied to subspaces of polynomials spaces in the B-form.",

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N2 - We discuss the construction of bases of functions in subspaces Y of a (finite-dimensional) linear space X that are dual to certain certain subsets of X∗. Or, in inner product spaces, we construct dual basis functions in one subspace Y1 that are dual to bases in a second subspace Y2. The constructions and properties are applied to subspaces of polynomials spaces in the B-form.

AB - We discuss the construction of bases of functions in subspaces Y of a (finite-dimensional) linear space X that are dual to certain certain subsets of X∗. Or, in inner product spaces, we construct dual basis functions in one subspace Y1 that are dual to bases in a second subspace Y2. The constructions and properties are applied to subspaces of polynomials spaces in the B-form.

KW - Dual bases

UR - http://www.springer.com/us/book/9783319064031

M3 - Presentation

T2 - Approximation Theory XIV

Y2 - 7 April 2013

ER -

Dual Bases in Subspaces

Abstract

Conference

Disciplines

Keywords

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