The equation $(I-S)g=f$ for shift operators in Hilbert space
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- by Richard Rochberg PDF
- Proc. Amer. Math. Soc. 19 (1968), 123-129 Request permission
References
- Z. Ciesielski, On the functional equation $f(t)=g(t)-g(2t)$, Proc. Amer. Math. Soc. 13 (1962), 388β393. MR 186960, DOI 10.1090/S0002-9939-1962-0186960-1
- Paul R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102β112. MR 152896, DOI 10.1515/crll.1961.208.102
- M. Kac, On the distribution of values of sums of the type $\sum f(2^k t)$, Ann. of Math. (2) 47 (1946), 33β49. MR 15548, DOI 10.2307/1969033
- R. Fortet, Sur une suite egalement rΓ©partie, Studia Math. 9 (1940), 54β70 (French, with Ukrainian summary). MR 5546, DOI 10.4064/sm-9-1-54-70
- Mitchell H. Taibleson, On the theory of Lipschitz spaces of distributions on Euclidean $n$-space. I. Principal properties, J. Math. Mech. 13 (1964), 407β479. MR 0163159
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 123-129
- MSC: Primary 47.10; Secondary 39.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0222672-9
- MathSciNet review: 0222672