×

Unions et intersections d’espaces \(L^p\) invariantes par translation ou convolution. (French) Zbl 0365.46029


MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E40 Spaces of vector- and operator-valued functions
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
43A70 Analysis on specific locally compact and other abelian groups
PDFBibTeX XMLCite
Full Text: DOI Numdam EuDML

References:

[1] L. N. ARGABRIGHT and J. GIL DE LAMADRID, Fourier analysis of unbounded measures on locally compact abelian groups, Memoirs of the Ann. Math. Soc., n° 145 (1974).0294.4300258 #29842 · Zbl 0294.43002
[2] [2] and , The spaces Lp, with mixed norm, Duke Math. J., 28 (1961), 301-324. · Zbl 0107.08902
[3] [3] and , Potential theory on locally compact abelian groups, Springer 1975. · Zbl 0308.31001
[4] [4] , Unions et intersections d’espaces Lp sur un espace localement compact, Bull. Sc. Math., 101 (1977). · Zbl 0376.46016
[5] [5] et , Transformation de Fourier sur les espace lp(Lp’), Ann. Inst. Fourier 29 (1979). · Zbl 0387.42003
[6] [6] , Construction and analysis of some convolution algebras, Ann. Inst. Fourier, 14 (1964), 1-32. · Zbl 0133.07501
[7] [7] , Topological Riesz spaces and measure theory, Cambridge, 1974. · Zbl 0273.46035
[8] [8] , On a space of functions of Wiener, Duke Math. J., 34 (1967), 683-691. · Zbl 0172.16203
[9] [9] , A survey of abstract harmonic analysis, dans : Some aspects of analysis and probability, Wiley & sons, 1958. · Zbl 0089.10806
[10] [10] and , Abstract harmonic analysis. 2 volumes, Springer, 1963 et 1970.
[11] [3] and , Foliated bundles and characteristic classes, Lecture Notes in Math., Springer, 493 (1975). · Zbl 0314.46029
[12] [12] , On certain special commutative normed rings. (en russe), Doklady Akad. Nauk SSSR, 64 (1949), 281-284.
[13] [13] , Measures with separable orbits, Proc. Am. Math. Soc., 19 (1968), 569-572. · Zbl 0157.06801
[14] [14] , Classical harmonic analysis and locally compact groups, Clarendon Press, Oxford, 1968. · Zbl 0165.15601
[15] [15] , L1-algebras and Segal algebras, Lectures Notes n° 231, Springer 1971. · Zbl 0219.43003
[16] [16] , Measures algebras on abelian groups, Bull. Am. Math. Soc., 65 (1959), 227-247. · Zbl 0089.10901
[17] [17] , On functions and measures whose Fourier transforms are functions, Math. Ann., 179 (1968), 31-41. · Zbl 0167.41601
[18] N. WIENER, Tauberian theorems, Ann. of Math., 33 (1932), 1-100.0004.0590558.0226.02 · JFM 58.0226.02
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.