Uniform approximation on noncompact spaces
HTML articles powered by AMS MathViewer
- by R. E. Edwards PDF
- Trans. Amer. Math. Soc. 122 (1966), 249-276 Request permission
References
- Carl S. Herz, The spectral theory of bounded functions, Trans. Amer. Math. Soc. 94 (1960), 181–232. MR 131779, DOI 10.1090/S0002-9947-1960-0131779-3
- R. E. Edwards, Functional analysis. Theory and applications, Holt, Rinehart and Winston, New York-Toronto-London, 1965. MR 0221256 S. Banach, Théorie des opérations linéaires, Monografje Matematyzcne, I, Warsaw, 1932.
- Edwin Hewitt, A survey of abstract harmonic analysis, Some aspects of analysis and probability, Surveys in Applied Mathematics. Vol. 4, John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1958, pp. 105–168. MR 0103389
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- R. E. Edwards, The exchange formula for distributions and spans of translates, Proc. Amer. Math. Soc. 4 (1953), 888–894. MR 64907, DOI 10.1090/S0002-9939-1953-0064907-0
- A. Zygmund, Trigonometric series: Vols. I, II, Cambridge University Press, London-New York, 1968. Second edition, reprinted with corrections and some additions. MR 0236587 E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1948. L. Schwartz, Théorie des distributions, Tomes I, II, Actualités Sci. Ind. Nos. 1091, 1122, Hermann, Paris, 1950, 1951. L. Hörmander, Linear partial differential operators, Springer, Berlin, 1963.
- H. G. Garnir, Les problèmes aux limites de la physique mathématique. Introduction à leur étude générale, Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften, Mathematische Reihe, Bd. 23, Birkhäuser Verlag, Basel-Stuttgart, 1958 (French). MR 0104054
- J.-P. Kahane, Transformées de Fourier des fonctions sommables, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 114–131 (French). MR 0176286
- Jean-Pierre Kahane and Raphaël Salem, Ensembles parfaits et séries trigonométriques, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1301, Hermann, Paris, 1963 (French). MR 0160065
- R. E. Edwards, Approximation theorems for translates, Proc. London Math. Soc. (3) 9 (1959), 321–342. MR 124688, DOI 10.1112/plms/s3-9.3.321
- R. E. Edwards, Spans of translates in $L^{p}\,(G)$, J. Austral. Math. Soc. 5 (1965), 216–233. MR 0192279
- R. E. Edwards, Supports and singular supports of pseudomeasures, J. Austral. Math. Soc. 6 (1966), 65–75. MR 0203372
- 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
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 122 (1966), 249-276
- MSC: Primary 46.55; Secondary 41.00
- DOI: https://doi.org/10.1090/S0002-9947-1966-0196472-5
- MathSciNet review: 0196472