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Volumn 121, Issue 6, 1999, Pages 1291-1336

Discrete analogues in harmonic analysis, I: ℓ2 estimates for singular Radon transforms

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EID: 0033475015     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (78)

References (15)
  • 2
    • 0009222489 scopus 로고
    • On a special trigonometric series and its applications
    • G. I. Arkhipov and K. I. Oskolkov, On a special trigonometric series and its applications, Math. USSR-Sb. 62 (1987), 145-155.
    • (1987) Math. USSR-Sb. , vol.62 , pp. 145-155
    • Arkhipov, G.I.1    Oskolkov, K.I.2
  • 3
    • 51249171518 scopus 로고
    • On the maximal ergodic theorem for certain subsets of the integers
    • J. Bourgain, On the maximal ergodic theorem for certain subsets of the integers, Israel J. Math. 61 (1988), 39-72.
    • (1988) Israel J. Math. , vol.61 , pp. 39-72
    • Bourgain, J.1
  • 4
    • 51649148795 scopus 로고
    • Pointwise ergodic theorems for arithmetic sets
    • _, Pointwise ergodic theorems for arithmetic sets, Inst. Hautes Études Sci. Publ. Math. 69 (1989), 5-45.
    • (1989) Inst. Hautes Études Sci. Publ. Math. , vol.69 , pp. 5-45
  • 5
    • 34250593672 scopus 로고
    • On the existence of certain singular integrals
    • A. P. Calderón and A. Zygmund, On the existence of certain singular integrals, Acta. Math. 88 (1952), 85-139.
    • (1952) Acta. Math. , vol.88 , pp. 85-139
    • Calderón, A.P.1    Zygmund, A.2
  • 6
    • 29244464525 scopus 로고    scopus 로고
    • Singular and maximal Radon transforms: Analysis and geometry
    • to appear
    • M. Christ, A. Nagel, E. M. Stein, and S. Wainger, Singular and maximal 4 transforms: Analysis and geometry, Ann. of Math. (to appear).
    • Ann. of Math.
    • Christ, M.1    Nagel, A.2    Stein, E.M.3    Wainger, S.4
  • 7
    • 84962995474 scopus 로고
    • On a principle of Lipschitz
    • H. Davenport, On a principle of Lipschitz, J. London Math. Soc. 26 (1951), 179-183.
    • (1951) J. London Math. Soc. , vol.26 , pp. 179-183
    • Davenport, H.1
  • 10
    • 0040344441 scopus 로고
    • Harmonic analysis on nilpotent groups and singular integrals, I: Oscillatory integrals
    • F. Ricci and E. M. Stein, Harmonic analysis on nilpotent groups and singular integrals, I: Oscillatory integrals, J. Funct. Anal. 73 (1987), 179-194.
    • (1987) J. Funct. Anal. , vol.73 , pp. 179-194
    • Ricci, F.1    Stein, E.M.2
  • 11
    • 34250971770 scopus 로고
    • Sur les fonctions conjuguées
    • M. Riesz, Sur les fonctions conjuguées, Math. Z. 27 (1927), 218-244.
    • (1927) Math. Z. , vol.27 , pp. 218-244
    • Riesz, M.1
  • 13
    • 84968474075 scopus 로고
    • Discrete analogues of singular Radon transforms
    • E. M. Stein and S. Wainger, Discrete analogues of singular Radon transforms, Bull. Amer. Math. Soc. 23 (1990), 537-544.
    • (1990) Bull. Amer. Math. Soc. , vol.23 , pp. 537-544
    • Stein, E.M.1    Wainger, S.2
  • 15
    • 0037960194 scopus 로고
    • Uber die gleichverteilung von Zahlen mod. Eins
    • H. Weyl, Uber die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352.
    • (1916) Math. Ann. , vol.77 , pp. 313-352
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.