Sparse subsets of orthonormal systems
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- by J. J. Price PDF
- Proc. Amer. Math. Soc. 35 (1972), 161-164 Request permission
Abstract:
There exist families of Walsh, Haar and trigonometric functions that have density zero and yet are complete in the sense of measure.References
- Casper Goffman and Daniel Waterman, Basic sequences in the space of measurable functions, Proc. Amer. Math. Soc. 11 (1960), 211–213. MR 112028, DOI 10.1090/S0002-9939-1960-0112028-4
- J. J. Price, A density theorem for Walsh functions, Proc. Amer. Math. Soc. 18 (1967), 209–211. MR 209760, DOI 10.1090/S0002-9939-1967-0209760-7
- J. J. Price and Robert E. Zink, On sets of completeness for families of Haar functions, Trans. Amer. Math. Soc. 119 (1965), 262–269. MR 184023, DOI 10.1090/S0002-9947-1965-0184023-X
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 161-164
- MSC: Primary 42A52
- DOI: https://doi.org/10.1090/S0002-9939-1972-0301439-8
- MathSciNet review: 0301439