The eigenvalue behavior of certain convolution equations
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- by H. J. Landau
- Trans. Amer. Math. Soc. 115 (1965), 242-256
- DOI: https://doi.org/10.1090/S0002-9947-1965-0199745-4
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References
- Alberto Calderón, Frank Spitzer, and Harold Widom, Inversion of Toeplitz matrices, Illinois J. Math. 3 (1959), 490–498. MR 121652 W. H. J. Fuchs, On the eigenvalues of an integral equation, Notices Amer. Math. Soc. 10 (1963), 352.
- H. J. Landau and H. O. Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty. II, Bell System Tech. J. 40 (1961), 65–84. MR 140733, DOI 10.1002/j.1538-7305.1961.tb03977.x
- H. J. Landau and H. O. Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty. III. The dimension of the space of essentially time- and band-limited signals, Bell System Tech. J. 41 (1962), 1295–1336. MR 147686, DOI 10.1002/j.1538-7305.1962.tb03279.x
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- D. Slepian and H. O. Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty. I, Bell System Tech. J. 40 (1961), 43–63. MR 140732, DOI 10.1002/j.1538-7305.1961.tb03976.x
- Harold Widom, Extreme eigenvalues of $N$-dimensional convolution operators, Trans. Amer. Math. Soc. 106 (1963), 391–414. MR 145294, DOI 10.1090/S0002-9947-1963-0145294-7
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 115 (1965), 242-256
- MSC: Primary 47.70
- DOI: https://doi.org/10.1090/S0002-9947-1965-0199745-4
- MathSciNet review: 0199745