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Pathconnectedness of Wavelet Sets in Reducing Subspaces

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In this paper, we establish the pathconnectedness of H-wavelet sets in a reducing subspace H of L2(R).

Abstract

In this paper, we establish the pathconnectedness of H-wavelet sets in a reducing subspace H of L2(R).

참고문헌 (7)

  1. G. Garrigós, "Completeness in the set of wavelets", Proc. Amer. Math. Soc, 128(4), pp.1157~1166 (1999)
  2. X. Dai, "Wavelets in subspaces", Michigan Math. J, 43, pp.81~98 (1996)
  3. E. J. Ionascu, "A new construction of wavelet sets", Real Anal. Exchange, 28(2), pp.593~610 (2002)
  4. D. Speegle, "The s-elementary wavelets are pathconnected", Proc. Amer. Math. Soc., 127(1), pp.223~233 (1999)
  5. D. Singh, "Path-Connectivity of Two-Interval MSF Wavelets", Kyungpook Math. J., 51(3), pp.293~300 (2011)
  6. S. Srivastava, "On wavelet induced isomorphisms for reducing subspaces", Int. J. Wavelets Multiresolution Inf. Process., 14(3), pp.1650009~ (2016)
  7. S. Srivastava, "On fixed point sets of wavelet induced isomorphisms and frame induced monomorphisms", Int. J. Wavelets Multiresolution Inf. Process., 14(3), pp.1650016~ (2016)

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