×
Cordoba, Antonio

Geometric Fourier analysis. (English) Zbl 0488.42027

Ann. Inst. Fourier 32, No. 3, 215-226 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0488.42027

Cited in 2 Reviews
Cited in 25 Documents

MSC:

42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
42B25 Maximal functions, Littlewood-Paley theory
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Keywords:

almost-orthogonality; Fourier transform; Hardy-Littlewood maximal function; sharp estimates for the L2-norm
Cite Review PDF
Full Text: DOI Numdam EuDML

References:

[1] [1] , The multiplier problem for the ball, Ann. of Math., 94 (1971). · Zbl 0234.42009
[2] [2] and , Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc., 84 (1978). · Zbl 0393.42010
[3] [3] , A restriction theorem for the Fourier transform, Bull. Amer. Math. Soc., 81 (1975). · Zbl 0298.42011
[4] [4] , The multiplier problem for the polygon, Ann. of Math., 105 (1977). · Zbl 0361.42005
[5] [5] and , A weighted norm inequality for singular integrals, Studia Math., LVII (1976). · Zbl 0356.44003
[6] [6] , Averages over low dimensional sets, Proc. Symp. in Pure Math., XXV. · Zbl 0627.42006
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.