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La $$g$$-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur $$(0,\infty)$$. (The Littlewood-Paley’s $$g$$-function associated with à singular différential opérator on $$(0,\infty)$$). (French) Zbl 0489.34022

##### MSC:
 34L99 Ordinary differential operators 47E05 General theory of ordinary differential operators
Zbl 0193.105
Full Text:
##### References:
 [1] S. BOCHNER, Proceeding of the conference on differential equations, 24-28, College Park Maryland, University of Maryland, Book Store (1956). [2] H. CHEBLI, Sur un théorème de Paley-Wiener associé à la décomposition spectrale d’un opérateur de Sturm-Liouville sur ]0, ∞[, J. Func. Anal., Vol. 17 (1974), 447-461. · Zbl 0288.47040 [3] E. STEIN, Topics in harmonic analysis related to the Littlewood-Paley theory, Ann. of Math. Studies, n° 63, Princeton Univ. Press, (1970). · Zbl 0193.10502 [4] K. TAIRA, A strong maximum-principle for degenerate elliptic operators, Comm. In Partial. Diff. Equations, 4(11) (1979), 1201-1212. · Zbl 0467.35021 [5] K. TRIMECHE, Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur (0, ∞), J. Math. Pures et Appl., 60 (1981), 51-98. · Zbl 0416.44002 [6] A. ZYGMUND, Trigonometric series, 2nd ed., Cambridge Univ. Press., New-York, 1959. · Zbl 0085.05601
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