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References
Loren Argabright and Jesús Gil de Lamadrid, Fourier analysis of unbounded measures on locally compact abelian groups, Mem. Amer. Math. Soc. No. 145, American Mathematical Society, Providence, 1974.
Christian Berg and Gunnar Forst, Potential theory on locally compact abelian groups, Ergebnisse der Mathematik und ihrer Grenzgebiete Band 87, Springer-Verlag, Berlin, Heidelberg, New York, 1975.
J.-P. Bertrandias, C. Datry et C. Dupuis, Unions et intersections d'espaces L p invariantes par translation ou convolution, Ann. Inst. Fourier (Grenoble) 28 (1978), 53–84.
Lynette M. Bloom, The Fourier multiplier problem for spaces of continuous functions with p-summable transforms, J. Austral. Math. Soc. 17 (1974), 319–331.
Walter R. Bloom, Strict local inclusion results between spaces of Fourier transforms, Pacific J. Math. 99 (1982), 265–270.
Robert C. Busby and Harvey A. Smith, Product-convolution operators and mixed-norm spaces, Trans. Amer. Math. Soc. 263 (1981), 309–341.
Gustave Choquet et Jacques Deny, Sur l'équation de convolution μ=μ * σ, C.R. Acad. Sci. Paris Sér. A-B 250 (1960), 799–801.
J. Diestel and J.J. Uhl, Jr., Vector Measures, Math. Surveys No.15, American Mathematical Society, Providence, 1977.
R.E. Edwards, Edwin Hewitt and Gunter Ritter, Fourier multipliers for certain spaces of functions with compact supports, Invent. Math. 40 (1977), 37–57.
Hans G. Feichtinger, Banach convolution algebras of Wiener's type (Proc. Conf. "Functions, series, operators", Budapest, August, 1980), Colloq. Math. Soc. J. Bolyai, North Holland, Amsterdam, Oxford, New York, 1982.
John J.F. Fournier, On the Hausdorff-Young theorem for amalgams, Monatsh. Math. 95 (1983), 117–135.
Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis, Vol. 1, Die Grundlehren der mathematischen Wissenschaften, Band 115, Springer-Verlag, Berlin, Göttingen, Heidelberg, 1963.
Finbarr Holland, Harmonic analysis on amalgams of L p and l q, J. London Math. Soc. (2) 10 (1975), 295–305.
V. Ja. Lin, On equivalent norms in the space of square summable entire functions of exponential type, Amer. Math. Soc. Transl. (2) 79 (1969), 53–76.
A.P. Robertson and M.L. Thornett, On translation-bounded measures, J. Austral. Math. Soc. (Series A).
James Stewart, Fourier transforms of unbounded measures, Canad. J. Math. 31 (1979), 1281–1292.
M.L. Thornett, A class of second-order stationary random measures, Stochastic Process. Appl. 8 (1979), 323–334.
N. Wiener, Tauberian theorems, Ann. of Math. 33 (1932), 1–100.
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Bloom, W.R. (1984). Translation bounded measures and the orlicz-paley-sidon theorem. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073629
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DOI: https://doi.org/10.1007/BFb0073629
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