The functions operating on homogeneous Banach algebras

Zafran, Misha

doi:10.1090/S0002-9904-1977-14433-9

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The functions operating on homogeneous Banach algebras
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Bull. Amer. Math. Soc. 83 (1977), 1319-1320

References

Henry Helson, Jean-Pierre Kahane, Yitzhak Katznelson, and Walter Rudin, The functions which operate on Fourier transforms, Acta Math. 102 (1959), 135–157. MR 116185, DOI 10.1007/BF02559571
Yitzhak Katznelson, Calcul symbolique dans les algèbres homogènes, C. R. Acad. Sci. Paris 254 (1962), 2700–2702 (French). MR 136975
Y. Katznelson and P. Malliavin, Analyse harmonique dans quelques algèbres homogènes, Israel J. Math. 5 (1967), 107–117 (French). MR 218840, DOI 10.1007/BF02771630
Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834