General Wiener-Hopf operators
HTML articles powered by AMS MathViewer
- by Allen Devinatz and Marvin Shinbrot PDF
- Trans. Amer. Math. Soc. 145 (1969), 467-494 Request permission
References
- Glen Baxter, A norm inequality for a “finite-section” Wiener-Hopf equation, Illinois J. Math. 7 (1963), 97–103. MR 145285
- Arne Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1948), 239–255. MR 27954, DOI 10.1007/BF02395019
- Allen Devinatz, Toeplitz operators on $H^{2}$ spaces, Trans. Amer. Math. Soc. 112 (1964), 304–317. MR 163174, DOI 10.1090/S0002-9947-1964-0163174-9
- A. Devinatz, An extension of a limit theorem of G. Szegö, J. Math. Anal. Appl. 14 (1966), 499–510. MR 199649, DOI 10.1016/0022-247X(66)90010-2
- Allen Devinatz, On Wiener-Hopf operators, Functional Analysis (Proc. Conf., Irvine, Calif., 1966) Academic Press, London; Thompson Book Co., Washington, D.C., 1967, pp. 81–118. MR 0223826
- Philip Hartman and Aurel Wintner, On the spectra of Toeplitz’s matrices, Amer. J. Math. 72 (1950), 359–366. MR 36936, DOI 10.2307/2372039
- Henry Helson and Gabor Szegö, A problem in prediction theory, Ann. Mat. Pura Appl. (4) 51 (1960), 107–138. MR 121608, DOI 10.1007/BF02410947
- Henry Helson and Donald Sarason, Past and future, Math. Scand. 21 (1967), 5–16 (1968). MR 236989, DOI 10.7146/math.scand.a-10840
- H. R. Pousson, Systems of Toeplitz operators on $H^{2}$, Proc. Amer. Math. Soc. 19 (1968), 603–608. MR 225188, DOI 10.1090/S0002-9939-1968-0225188-9 M. Rabindranathan, Generalized Toeplitz operators, Thesis, University of California, Berkeley, 1968.
- Edgar Reich, On non-Hermitian Toeplitz matrices, Math. Scand. 10 (1962), 145–152. MR 149189, DOI 10.7146/math.scand.a-10521
- Marvin Shinbrot, On singular integral operations, J. Math. Mech. 13 (1964), 395–406. MR 0162103
- Marvin Shinbrot, On the range of general Wiener-Hopf operators, J. Math. Mech. 18 (1968/1969), 587–601. MR 0250135
- Marvin Shinbrot, The solution of some integral equations of Wiener-Hopf type, Quart. Appl. Math. 28 (1970/71), 15–36. MR 270084, DOI 10.1090/S0033-569X-1970-0270084-4 N. Wiener and E. Hopf, Über eine Klasse singulärer Integralgleichungen. S.-B. Preuss. Akad. Wiss. (1931), 696-706.
- Harold Widom, Inversion of Toeplitz matrices. II, Illinois J. Math. 4 (1960), 88–99. MR 130572 —, Inversion of Toeplitz matrices. III, Abstract 564-246, Notices Amer. Math. Soc. 7 (1960), 63.
- Arlen Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. Reine Angew. Math. 213 (1963/64), 89–102. MR 160136, DOI 10.1007/978-1-4613-8208-9_{1}9
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 145 (1969), 467-494
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9947-1969-0251573-0
- MathSciNet review: 0251573