The $L^{p}$ behavior of eigenfunction expansions
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- by Harold E. Benzinger
- Trans. Amer. Math. Soc. 174 (1972), 333-344
- DOI: https://doi.org/10.1090/S0002-9947-1972-0328189-0
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Abstract:
We investigate the extent to which the eigenfunction expansions arising from a large class of two-point boundary value problems behave like Fourier series expansions in the norm of ${L^p}(0,1),1 < p < \infty$. We obtain our results by relating Green’s function to the Hilbert transform.References
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Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 174 (1972), 333-344
- MSC: Primary 34B25
- DOI: https://doi.org/10.1090/S0002-9947-1972-0328189-0
- MathSciNet review: 0328189