A class of complete orthogonal sequences of broken line functions
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- by J. L. Sox PDF
- Trans. Amer. Math. Soc. 166 (1972), 293-296 Request permission
Abstract:
A class of orthonormal sets of continuous broken line functions is defined. Each member is shown to be complete in ${L_2}(0,1)$ and pointwise convergence theorems are obtained for the Fourier expansions relative to these sets.References
- Philip Franklin, A set of continuous orthogonal functions, Math. Ann. 100 (1928), no. 1, 522–529. MR 1512499, DOI 10.1007/BF01448860
- J. L. Sox Jr. and W. J. Harrington, A class of complete orthogonal sequences of step functions, Trans. Amer. Math. Soc. 157 (1971), 129–135. MR 275046, DOI 10.1090/S0002-9947-1971-0275046-3
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 166 (1972), 293-296
- MSC: Primary 42A60
- DOI: https://doi.org/10.1090/S0002-9947-1972-0291720-8
- MathSciNet review: 0291720