A generalization of nonharmonic Fourier series
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- by Harold E. Benzinger PDF
- Proc. Amer. Math. Soc. 105 (1989), 670-676 Request permission
Abstract:
It is shown that the theory of nonharmonic Fourier series is a special case of a general method for perturbing bases in Banach spaces, and that even in the classical case, there are many ways of perturbing ordinary Fourier series while still preserving the norm and pointwise convergence properties.References
- Harold E. Benzinger, Nonharmonic Fourier series and spectral theory, Trans. Amer. Math. Soc. 299 (1987), no. 1, 245–259. MR 869410, DOI 10.1090/S0002-9947-1987-0869410-0
- Robert M. Young, An introduction to nonharmonic Fourier series, Pure and Applied Mathematics, vol. 93, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 591684
- Robert M. Young, On the stability of exponential bases in $L^2(-\pi ,\pi )$, Proc. Amer. Math. Soc. 100 (1987), no. 1, 117–122. MR 883412, DOI 10.1090/S0002-9939-1987-0883412-5
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 670-676
- MSC: Primary 42C15; Secondary 42A45
- DOI: https://doi.org/10.1090/S0002-9939-1989-0962241-X
- MathSciNet review: 962241