메뉴 건너뛰기




Volumn 20, Issue 6, 2009, Pages 471-490

Fractional transformations of generalized functions

Author keywords

Fractional integral transforms; Generalized functions; Semigroups of operators

Indexed keywords


EID: 70449428743     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460802646063     Document Type: Article
Times cited : (8)

References (15)
  • 2
    • 33847703727 scopus 로고    scopus 로고
    • Recent developments in the theory of fractional Fourier and linear canonical transforms
    • A. Bultheel and H. Martinez Sulbaran, Recent developments in the theory of fractional Fourier and linear canonical transforms, Bull. Belg. Math. Soc. 13 (2006), pp. 971-1005.
    • (2006) Bull. Belg. Math. Soc. , vol.13 , pp. 971-1005
    • Bultheel, A.1    Martinez Sulbaran, H.2
  • 4
    • 38249029541 scopus 로고
    • 2 and applications to differential equations
    • 2 and applications to differential equations, J. Math. Anal. Appl. 136 (1988), pp. 404-418.
    • (1988) J. Math. Anal. Appl. , vol.136 , pp. 404-418
    • Kerr, F.H.1
  • 5
    • 84976084890 scopus 로고
    • A distributional approach to Namias' fractional Fourier transforms
    • F.H. Kerr, A distributional approach to Namias' fractional Fourier transforms, Proc. R. Soc. Edinb. 108A (1988), pp. 133-143.
    • (1988) Proc. R. Soc. Edinb. , vol.108 A , pp. 133-143
    • Kerr, F.H.1
  • 6
    • 0041568864 scopus 로고
    • Semigroups of operators in locally convex spaces
    • T. Komura, Semigroups of operators in locally convex spaces, J. Funct. Anal. 2 (1968), pp. 258-296.
    • (1968) J. Funct. Anal. , vol.2 , pp. 258-296
    • Komura, T.1
  • 8
    • 77957689582 scopus 로고
    • On Namias's fractional Fourier transforms
    • A.C. McBride and F.H. Kerr, On Namias's fractional Fourier transforms, IMAJ. Appl. Math. 39(1987), pp. 159-175.
    • (1987) IMAJ. Appl. Math. , vol.39 , pp. 159-175
    • McBride, A.C.1    Kerr, F.H.2
  • 9
    • 77958407025 scopus 로고
    • The fractional order Fourier transformation and its application to quantum mechanics
    • V. Namias, The fractional order Fourier transformation and its application to quantum mechanics, J. Inst. Maths App. 25 (1980), pp. 241-265.
    • (1980) J. Inst. Maths App. , vol.25 , pp. 241-265
    • Namias, V.1
  • 11
    • 0007196881 scopus 로고
    • Distributions and their Hermite expansions
    • B. Simon, Distributions and their Hermite expansions, J. Math. Phys. 12 (1971), pp. 140-148.
    • (1971) J. Math. Phys. , vol.12 , pp. 140-148
    • Simon, B.1
  • 12
    • 0003023534 scopus 로고
    • Hermitian polynomials and Fourier analysis
    • N. Wiener, Hermitian polynomials and Fourier analysis, J. Math. Phys. MIT. 8 (1929), pp. 70-73.
    • (1929) J. Math. Phys. MIT. , vol.8 , pp. 70-73
    • Wiener, N.1
  • 13
    • 0008827865 scopus 로고    scopus 로고
    • Fractional Fourier transform of generalized functions
    • A.I. Zayed, Fractional Fourier transform of generalized functions, Integral Transforms Spec. Funct. 7 (1998), pp. 299-312.
    • (1998) Integral Transforms Spec. Funct. , vol.7 , pp. 299-312
    • Zayed, A.I.1
  • 14
    • 0036504010 scopus 로고    scopus 로고
    • A class of fractional integral transforms: A generalisation of the fractional Fourier transform
    • A.I. Zayed, A class of fractional integral transforms: a generalisation of the fractional Fourier transform, IEEE Trans. Signal Process. 50 (2002), pp. 619-627.
    • (2002) IEEE Trans. Signal Process , vol.50 , pp. 619-627
    • Zayed, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.