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Volumn 230, Issue 1, 1999, Pages 11-29

A Paley-Wiener Theorem for the Hankel Transform of Colombeau Type Generalized Functions

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EID: 0040355616     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6145     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 0001754661 scopus 로고
    • Multipliers of Hankel transformable generalized functions
    • Betancor J. J., Marrero I. Multipliers of Hankel transformable generalized functions. Comm. Math. Univ. Carolinae. 33:1992;389-401.
    • (1992) Comm. Math. Univ. Carolinae , vol.33 , pp. 389-401
    • Betancor, J.J.1    Marrero, I.2
  • 2
    • 0000080577 scopus 로고
    • Some properties of Hankel convolution operators
    • Betancor J. J., Marrero I. Some properties of Hankel convolution operators. Canad. Math. Bull. 36:1993;398-406.
    • (1993) Canad. Math. Bull. , vol.36 , pp. 398-406
    • Betancor, J.J.1    Marrero, I.2
  • 3
    • 0001489467 scopus 로고
    • Structure and convergence in certain spaces of distributions and the generalized Hankel convolution
    • Betancor J. J., Marrero I. Structure and convergence in certain spaces of distributions and the generalized Hankel convolution. Math. Japon. 38:1993;1141-1155.
    • (1993) Math. Japon. , vol.38 , pp. 1141-1155
    • Betancor, J.J.1    Marrero, I.2
  • 5
    • 0040944358 scopus 로고    scopus 로고
    • Hankel transformation of Colombeau type tempered generalized functions
    • Betancor J. J., Rodríguez-Mesa L. Hankel transformation of Colombeau type tempered generalized functions. J. Math. Anal. Appl. 217:1998;293-320.
    • (1998) J. Math. Anal. Appl. , vol.217 , pp. 293-320
    • Betancor, J.J.1    Rodríguez-Mesa, L.2
  • 6
    • 18044365082 scopus 로고    scopus 로고
    • On Hankel convolutors on certain Hankel transformable function spaces
    • Betancor J. J., Rodríguez-Mesa L. On Hankel convolutors on certain Hankel transformable function spaces. Glasgow Math. J. 39:1997;351-369.
    • (1997) Glasgow Math. J. , vol.39 , pp. 351-369
    • Betancor, J.J.1    Rodríguez-Mesa, L.2
  • 7
    • 0003221810 scopus 로고
    • New generalized functions and multiplication of distributions
    • Colombeau J. F. New generalized functions and multiplication of distributions. North Holland Math. Stud. 84:1984.
    • (1984) North Holland Math. Stud. , vol.84
    • Colombeau, J.F.1
  • 8
    • 0003204764 scopus 로고
    • An introduction to new generalized functions
    • Colombeau J. F. An introduction to new generalized functions. North Holland Math. Stud. 113:1985.
    • (1985) North Holland Math. Stud. , vol.113
    • Colombeau, J.F.1
  • 9
    • 0003261710 scopus 로고
    • A Hankel convolution complex inversion theory
    • Cholewinski F. M. A Hankel convolution complex inversion theory. Mem. Amer. Math. Soc. 58:1965.
    • (1965) Mem. Amer. Math. Soc. , vol.58
    • Cholewinski, F.M.1
  • 10
    • 84968464879 scopus 로고
    • Integral equations associated with Hankel convolutions
    • Haimo D. T. Integral equations associated with Hankel convolutions. Trans. Amer. Math. Soc. 116:1965;330-375.
    • (1965) Trans. Amer. Math. Soc. , vol.116 , pp. 330-375
    • Haimo, D.T.1
  • 11
    • 51249168709 scopus 로고
    • Variation diminishing Hankel transform
    • Hirschman I. I. Jr. Variation diminishing Hankel transform. J. Analyse Math. 8:1960-1961;307-336.
    • (1960) J. Analyse Math. , vol.8 , pp. 307-336
    • Hirschman I.I., Jr.1
  • 12
    • 0042870552 scopus 로고    scopus 로고
    • Paley-Wiener Theorem for generalized functions
    • Karunakaran V., Vijayan A. Paley-Wiener Theorem for generalized functions. Complex Variables. 31:1996;19-26.
    • (1996) Complex Variables , vol.31 , pp. 19-26
    • Karunakaran, V.1    Vijayan, A.2
  • 13
    • 0000392005 scopus 로고
    • Hankelsche Transformationen
    • Kober H. Hankelsche Transformationen. Quart. J. Math. Oxford Ser. 8:1937;186-199.
    • (1937) Quart. J. Math. Oxford Ser. , vol.8 , pp. 186-199
    • Kober, H.1
  • 15
    • 0000512651 scopus 로고
    • Hankel convolution of generalized functions
    • Marrero I., Betancor J. J. Hankel convolution of generalized functions. Rend. Mat. (7). 15:1995;351-380.
    • (1995) Rend. Mat. (7) , vol.15 , pp. 351-380
    • Marrero, I.1    Betancor, J.J.2
  • 16
    • 0039175119 scopus 로고
    • Paley-Wiener type theorems for Colombeau generalized functions
    • Nedeljkov M., Pilipović S. Paley-Wiener type theorems for Colombeau generalized functions. J. Math. Anal. Appl. 195:1995;108-122.
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 108-122
    • Nedeljkov, M.1    Pilipović, S.2
  • 17
    • 0040656024 scopus 로고    scopus 로고
    • Fourier analysis on Colombeau's algebra of generalized functions
    • Soraggi R. L. Fourier analysis on Colombeau's algebra of generalized functions. J. Analyse Math. 69:1996;201-227.
    • (1996) J. Analyse Math. , vol.69 , pp. 201-227
    • Soraggi, R.L.1
  • 18
    • 0000538721 scopus 로고
    • A distributional Hankel transformation
    • Zemanian A. H. A distributional Hankel transformation. SIAM J. Appl. Math. 14:1966;561-576.
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 561-576
    • Zemanian, A.H.1
  • 19
    • 0001250021 scopus 로고
    • The Hankel transformation of certain distributions of rapid growth
    • Zemanian A. H. The Hankel transformation of certain distributions of rapid growth. SIAM J. Appl. Math. 14:1966;678-690.
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 678-690
    • Zemanian, A.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.