C 1 changes of variable: Beurling-Helson type theorem and Hörmander conjecture on Fourier multipliers

Author:

Lebedev V.,Olevskiî A.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference20 articles.

1. [A]L. Alpar, Sur une class particulière de séries de Fourier à certaines puissances absolument convergentes, Studia Sci. Math. Hungar. 3 (1968), 279–286.

2. [BH]A. Beurling, H. Helson, Fourier transforms with bounded powers, Math. Scand. 1 (1953), 120–126.

3. [Bj]J.-E. Björk, On Fourier transform of smooth measures carried by realanalytic submanifolds of ℝ n . Preprint, 1973, Stockholm University.

4. [Bo]R.P. Boas, Entire Functions, Acad. Press, New York, 1954.

5. [D]V.N. Demenko, Onp-Helson sets in ℝ n , Analysis Math. 15 (1989), 17–35.

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