메뉴 건너뛰기




Volumn 13, Issue 3, 2002, Pages 259-275

Yη And Hη transforms in ℒv,r-Spaces

Author keywords

H transform; Intergal transforms with Bessel function in the kernels; Spaces of p summable functions

Indexed keywords


EID: 0036623299     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460213515     Document Type: Article
Times cited : (3)

References (29)
  • 6
    • 84931202072 scopus 로고
    • Some formulae in the theory of Bessel functions
    • Hardy, G.H. (1924). Some formulae in the theory of Bessel functions. Proc. London Math. Soc., 23(2), LXI-LXIII.
    • (1924) Proc. London Math. Soc. , vol.23 , Issue.2 , pp. 61-63
    • Hardy, G.H.1
  • 7
    • 0001732975 scopus 로고
    • On the Hankel and some related transformations
    • Heywood, P. and Rooney, P.G. (1988). On the Hankel and some related transformations. Canad. J. Math., 40(4), 989-1009.
    • (1988) Canad. J. Math. , vol.40 , Issue.4 , pp. 989-1009
    • Heywood, P.1    Rooney, P.G.2
  • 8
    • 21344492001 scopus 로고
    • On the Strove transformation
    • Heywood, P. and Rooney, P.G. (1994). On the Strove transformation. SIAM J. Math. Anal., 25(2), 450-461.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.2 , pp. 450-461
    • Heywood, P.1    Rooney, P.G.2
  • 9
    • 0010892361 scopus 로고
    • Integral transforms with Fox's H-function in spaces of summable functions
    • Kilbas, A.A., Saigo, M. and Shlapakov, S.A. (1993). Integral transforms with Fox's H-function in spaces of summable functions. Integral Transforms Spec. Funct., 1(2), 87-103.
    • (1993) Integral Transforms Spec. Funct. , vol.1 , Issue.2 , pp. 87-103
    • Kilbas, A.A.1    Saigo, M.2    Shlapakov, S.A.3
  • 12
    • 0010893954 scopus 로고
    • Inversion of the strove transform
    • Love, E.R. (1985). Inversion of the strove transform, Res. Notes in Math., 138, 75-86.
    • (1985) Res. Notes in Math. , vol.138 , pp. 75-86
    • Love, E.R.1
  • 13
    • 2442696244 scopus 로고
    • Composition structure of some integral transformations of compositional type
    • Institute of Applied Mathematics, Tbilis. Gos. Univ., Tbilisi, (in Russian)
    • Marichev, O.I. and Vu Kim Tuan. (1985). Composition structure of some integral transformations of compositional type. Reports of the Extended Sessions of a Seminar of the LN. Vekua, Vol. 1, No. 1. Institute of Applied Mathematics, Tbilis. Gos. Univ., Tbilisi, pp. 139-142 (in Russian).
    • (1985) Reports of the Extended Sessions of a Seminar of the I.N. Vekua , vol.1 , Issue.1 , pp. 139-142
    • Marichev, O.I.1    Vu Kim Tuan2
  • 14
    • 0010940335 scopus 로고
    • The factorization of G-transform in two spaces of functions. Complex analysis and applications '85 (Varna, 1985)
    • Marichev, O.I. and Vu Kim Tuan. (1986). The factorization of G-transform in two spaces of functions. Complex Analysis and Applications '85 (Varna, 1985). Bulg. Acad. Sci., Sofia, pp. 418-433.
    • (1986) Bulg. Acad. Sci., Sofia , pp. 418-433
    • Marichev, O.I.1    Vu Kim Tuan2
  • 16
    • 0010880798 scopus 로고
    • Inversion of the Strove transform of half integer order
    • McKellar, B.H.J., Box, M.A. and Love, E.R. (1983). Inversion of the Strove transform of half integer order. J. Austral. Math. Soc., Ser. B, 25(2), 161-174.
    • (1983) J. Austral. Math. Soc., Ser. B , vol.25 , Issue.2 , pp. 161-174
    • McKellar, B.H.J.1    Box, M.A.2    Love, E.R.3
  • 17
    • 84971135888 scopus 로고
    • On integral operators with kernels involving Bessel functions
    • Okikioulu, G.O. (1966). On integral operators with kernels involving Bessel functions. Proc. Cambridge Phil. Soc., 62(3), 477-484.
    • (1966) Proc. Cambridge Phil. Soc. , vol.62 , Issue.3 , pp. 477-484
    • Okikioulu, G.O.1
  • 18
    • 84972066452 scopus 로고
    • On integral operators with kernels involving Bessel functions (corrections and addendum)
    • Okikioulu, G.O. (1970). On integral operators with kernels involving Bessel functions (corrections and addendum). Proc. Cambridge Phil. Soc., 67(3), 583-586.
    • (1970) Proc. Cambridge Phil. Soc. , vol.67 , Issue.3 , pp. 583-586
    • Okikioulu, G.O.1
  • 20
    • 0011279672 scopus 로고
    • v transformations
    • v transformations. Canad. J. Math., 32(5), 1024-1044.
    • (1980) Canad. J. Math. , vol.32 , Issue.5 , pp. 1024-1044
    • Rooney, P.G.1
  • 21
    • 84976012962 scopus 로고
    • On integral transformations with G-function kernels
    • Rooney, P.G. (1982/83). On integral transformations with G-function kernels. Proc. Royal Soc. Edinburgh, Sect. A, 93, 265-297.
    • (1982) Proc. Royal Soc. Edinburgh, Sect. A , vol.93 , pp. 265-297
    • Rooney, P.G.1
  • 22
    • 0002770855 scopus 로고
    • On the range of the integral transformation
    • Rooney, P.G. (1994). On the range of the integral transformation. Canad. Math. Bul., 37(4), 545-548.
    • (1994) Canad. Math. Bul. , vol.37 , Issue.4 , pp. 545-548
    • Rooney, P.G.1
  • 23
    • 0010942523 scopus 로고
    • On the representation of functions by the Hankel and some related transformations
    • Rooney, P.G. (1995). On the representation of functions by the Hankel and some related transformations. Proc. Royal Soc. Edinburgh, Sect. A, 125(3), 449-463.
    • (1995) Proc. Royal Soc. Edinburgh, Sect. A , vol.125 , Issue.3 , pp. 449-463
    • Rooney, P.G.1
  • 27
    • 0010879687 scopus 로고
    • A pair of inversion formulae
    • Titshmarsh, E.C. (1923). A pair of inversion formulae. Proc. London Math. Soc., 22(2), XXXIV-XXXV.
    • (1923) Proc. London Math. Soc. , vol.22 , Issue.2 , pp. 34-35
    • Titshmarsh, E.C.1
  • 29
    • 0030267813 scopus 로고    scopus 로고
    • On the range of y transform
    • Kim Tuan, Vu. (1996). On the range of y transform. Bull. Austral. Math. Soc., 54(2), 329-345.
    • (1996) Bull. Austral. Math. Soc. , vol.54 , Issue.2 , pp. 329-345
    • Kim Tuan Vu1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.