Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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OBLIQUE PROJECTIONS AND SHIFT-INVARIANT SPACES

  • Park, Sang-Don (Department of Applied Mathematics, Hankyong National University) ;
  • Kang, Chul (Department of Applied Mathematics, Hankyong National University)
  • Published : 2008.09.30
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Abstract

We give an elementary proof of one of the main results in [H.O. Kim, R.Y. Kim, J.K. Lim, The infimum cosine angle between two finitely generated shift-invariant spaces and its applications, Appl. Comput. Har-mon. Anal. 19 (2005) 253-281] concerning the existence of an oblique projection onto a finitely generated shift-invariant space along the orthogonal complement of another finitely generated shift-invariant space under the assumption that the generators generate Riesz bases.

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