메뉴 건너뛰기




Volumn 13, Issue 5, 2007, Pages 551-576

Distributional point values and convergence of fourier series and integrals

Author keywords

Distributional point values; Fourier series and integrals

Indexed keywords


EID: 35548967184     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6015-z     Document Type: Article
Times cited : (26)

References (34)
  • 2
    • 0000771617 scopus 로고
    • Sur l'intégration des coefficients différentiels d'ordre supérieur
    • Denjoy, A. (1935). Sur l'intégration des coefficients différentiels d'ordre supérieur, Fund. Math. 25, 237-320.
    • (1935) Fund. Math , vol.25 , pp. 237-320
    • Denjoy, A.1
  • 5
    • 21344465398 scopus 로고    scopus 로고
    • Characterization of the Fourier series of distributions having a value at a point
    • Estrada, R. (1996). Characterization of the Fourier series of distributions having a value at a point, Proc. Amer. Math. Soc. 124, 1205-1212.
    • (1996) Proc. Amer. Math. Soc , vol.124 , pp. 1205-1212
    • Estrada, R.1
  • 6
    • 33746662883 scopus 로고    scopus 로고
    • The Cesàro behavior of distributions
    • Estrada, R. (1998). The Cesàro behavior of distributions, Proc. Roy. Soc. London Ser. A 454, 2425-2443.
    • (1998) Proc. Roy. Soc. London Ser. A , vol.454 , pp. 2425-2443
    • Estrada, R.1
  • 7
    • 48849094119 scopus 로고    scopus 로고
    • A distributional version of the Ferenc Lukács theorem, Sarajevo
    • Estrada, R. (2005). A distributional version of the Ferenc Lukács theorem, Sarajevo J. Math. 13, 1-17.
    • (2005) J. Math , vol.13 , pp. 1-17
    • Estrada, R.1
  • 8
    • 0001461310 scopus 로고
    • A distributional theory of asymptotic expansions
    • Estrada, R. and Kanwal, R. P. (1990). A distributional theory of asymptotic expansions, Proc. Roy. Soc. London Ser. A 428, 399-430.
    • (1990) Proc. Roy. Soc. London Ser. A , vol.428 , pp. 399-430
    • Estrada, R.1    Kanwal, R.P.2
  • 9
    • 33645913701 scopus 로고
    • Asymptotic separation of variables
    • Estrada, R. and Kanwal, R. P. (1993). Asymptotic separation of variables, J. Math. Anal. Appl. 171, 130-142.
    • (1993) J. Math. Anal. Appl , vol.171 , pp. 130-142
    • Estrada, R.1    Kanwal, R.P.2
  • 10
    • 0032046978 scopus 로고    scopus 로고
    • Moment expansion analysis for time-domain asymptotics
    • Estrada, R. and Kanwal, R. P. (1998). Moment expansion analysis for time-domain asymptotics, Math. Meth. Appl. Scs. 21, 489-499.
    • (1998) Math. Meth. Appl. Scs , vol.21 , pp. 489-499
    • Estrada, R.1    Kanwal, R.P.2
  • 13
    • 0000631775 scopus 로고
    • An algebra of pseudodifferential operators and Quantum Mechanics in phase space
    • Grossman, A., Loupias, G., and Stein, E. M. (1968). An algebra of pseudodifferential operators and Quantum Mechanics in phase space, Ann. Inst. Fourier 18, 343-368.
    • (1968) Ann. Inst. Fourier , vol.18 , pp. 343-368
    • Grossman, A.1    Loupias, G.2    Stein, E.M.3
  • 15
    • 35548953833 scopus 로고
    • Some theorems concerning Dirichlet's series
    • Hardy, G. H. and Littlewood, J. E. (1914). Some theorems concerning Dirichlet's series, Messenger of Mathematics 43, 134-147.
    • (1914) Messenger of Mathematics , vol.43 , pp. 134-147
    • Hardy, G.H.1    Littlewood, J.E.2
  • 17
    • 0011445623 scopus 로고
    • Sur la valuer et la limite d'une distribution en un point
    • Lojasiewicz, S. (1957). Sur la valuer et la limite d'une distribution en un point, Studia Math. 16, 1-36.
    • (1957) Studia Math , vol.16 , pp. 1-36
    • Lojasiewicz, S.1
  • 19
    • 0001326981 scopus 로고
    • On the value of a distribution at a point
    • Peetre, J. (1968). On the value of a distribution at a point, Portugaliae Math. 27, 149-159.
    • (1968) Portugaliae Math , vol.27 , pp. 149-159
    • Peetre, J.1
  • 20
    • 84985406702 scopus 로고
    • On the behavior of a distribution at the origin
    • Pilipović, S. (1989). On the behavior of a distribution at the origin, Math. Nachr. 141, 27-32.
    • (1989) Math. Nachr , vol.141 , pp. 27-32
    • Pilipović, S.1
  • 24
    • 0003357833 scopus 로고
    • Regularly varying functions
    • Springer Verlag, Berlin
    • Seneta, E. (1976). Regularly varying functions, Lecture Notes in Math. 598, Springer Verlag, Berlin.
    • (1976) Lecture Notes in Math , vol.598
    • Seneta, E.1
  • 26
    • 34548544393 scopus 로고    scopus 로고
    • Distributionally regulated functions
    • in press
    • Vindas, J. and Estrada, R. (2007). Distributionally regulated functions, Studia Math., in press.
    • (2007) Studia Math
    • Vindas, J.1    Estrada, R.2
  • 28
    • 0001523868 scopus 로고
    • Pointwise convergence of distribution expansions
    • Walter, G. (1966). Pointwise convergence of distribution expansions, Studia Math. 26, 143-154.
    • (1966) Studia Math , vol.26 , pp. 143-154
    • Walter, G.1
  • 29
    • 84972506910 scopus 로고
    • Local boundary behavior of harmonic functions
    • Walter, G. (1972). Local boundary behavior of harmonic functions, Illinois J. Math. 16, 491-501.
    • (1972) Illinois J. Math , vol.16 , pp. 491-501
    • Walter, G.1
  • 30
    • 0347588833 scopus 로고
    • Sampling bandlimited functions of polynomial growth
    • Walter, G. (1988). Sampling bandlimited functions of polynomial growth, SIAM J. Math, Anal. 19, 1198-1203.
    • (1988) SIAM J. Math, Anal , vol.19 , pp. 1198-1203
    • Walter, G.1
  • 31
    • 0346957756 scopus 로고
    • Abel summability for a distribution sampling theorem
    • Stankovic, B, Pap, E, Pilipović, S, and Vladimirov, V. S, Eds, Plenum. Press, New York
    • Walter, G. Abel summability for a distribution sampling theorem, in Generalized Functions, Convergence Structures, and Their Applications, Stankovic, B., Pap, E., Pilipović, S., and Vladimirov, V. S., Eds., Plenum. Press, New York, 349-357, (1988).
    • (1988) Generalized Functions, Convergence Structures, and Their Applications , pp. 349-357
    • Walter, G.1
  • 32
    • 35548990206 scopus 로고
    • On the value of a distribution at a point
    • Stanković, B, Pap, E, Pilipović, S, and Vladimirov, V.S, Eds, Plenum Press, New York
    • Wawak, R. On the value of a distribution at a point, in Generalized Functions, Convergence Structures, and Their Applications, Stanković, B., Pap, E., Pilipović, S., and Vladimirov, V.S., Eds., Plenum Press, New York, 359-364, (1988).
    • (1988) Generalized Functions, Convergence Structures, and Their Applications , pp. 359-364
    • Wawak, R.1
  • 34
    • 84953751498 scopus 로고    scopus 로고
    • 3rd ed, Cambridge University Press, Cambridge
    • Zygmund, A. Trigonometric Series, 3rd ed., Cambridge University Press, Cambridge, (2002).
    • (2002) Trigonometric Series
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.