Keywords
- Inverse Fourier Transform
- Compact Subgroup
- Lorentz Space
- Absolute Convergence
- Lipschitz Space
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References
R. E. Edwards, G. I. Gaudry, Littlewood-Paley and multiplier theory, Springer Verlag, Berlin, 1977.
T. M. Flett, Some elementary inequalities for integrals with applications to Fourier transforms, Proc. London Math. Soc. (3) 29(1974), 533–556.
C. Herz, Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms, J. Math. Mech. 18(1968), 283–324.
E. Hewitt, K. Ross, Abstract harmonic analysis, Vol. I, II, Springer Verlag, Berlin, 1963, 1970.
R. A. Hunt, On (L(p,q) spaces, l’Enseignement Math. 12(1966), 249–276.
R. Johnson, Lipschitz spaces, Littlewood-Paley spaces, and convoluteurs, Proc. London Math. Soc. (3) 28(1974), 127–141.
C. N. Kellogg, An extension of the Hausdorff-Young theorem, Mich. Math. J. 18(1971), 121–128.
I. Mozejko, On absolute convergence of Fourier series, Functiones et Approximatio Comm. Math. 2(1976), 177–182.
C. J. Neugebauer, The LP modulus of continuity and Fourier series of Lipschitz functions, Proc. Amer. Math. Soc. 64(1977), 71–76.
H. Ombe, personal communication.
C. W. Onneweer, Absolute convergence of Fourier series on certain groups, Duke. Math. J. 39(1972), 599–609.
J. Peetre, Applications de la théorie des espaces d’interpolation dans l’analyse harmonique, Ricerche Mat.15(1966), 1–37.
T. S. Quek, L. Y. H. Yap, Absolute convergence of Vilenkin-Fourier series, J. Math. Anal. Appl. 74(1980), 1–14.
N. M. Rivière, Y. Sagher, On two theorems of Paley, Proc. Amer. Math. Soc. 42(1974), 238–242.
R. Spector, Sur la structure locale des groupes abéliens localement compacts, Bull. Soc. Math. France, Mémoire 24, 1970.
M. H. Taibleson, Fourier analysis on local fields, Math. Notes Princeton Univ. Press, Princeton, 1975.
H. Triebel, Interpolation theory, function spaces. differential operators, VEB Deutscher Verlag Wissenschaften, Berlin, 1978.
H. Triebel, Spaces of Besov-Hardy-Sobolev Type, Teubner Texte Math., Teubner, Leipzig, 1978.
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© 1982 Springer-Verlag
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Onneweer, C.W. (1982). Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups. In: Chao, JA., Woyczyński, W.A. (eds) Martingale Theory in Harmonic Analysis and Banach Spaces. Lecture Notes in Mathematics, vol 939. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096263
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DOI: https://doi.org/10.1007/BFb0096263
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