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Volumn 4, Issue 1, 1997, Pages 15-17

Product and convolution theorems for the fractional Fourier transform

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL SIGNAL PROCESSING; FOURIER OPTICS;

EID: 0030826059     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.551689     Document Type: Article
Times cited : (140)

References (11)
  • 1
    • 0009525360 scopus 로고
    • Quantenmechanik und gruppentheorie
    • H. Weyl, "Quantenmechanik und gruppentheorie," Zisch. f. Physik, vol. 46, pp. 1-47, 1927.
    • (1927) Zisch. F. Physik , vol.46 , pp. 1-47
    • Weyl, H.1
  • 2
    • 0003023534 scopus 로고
    • Hermitian polynomials and Fourier analysis
    • N. Wiener, "Hermitian polynomials and Fourier analysis," J. Math. Phys. MIT, vol. 8, pp. 70-73, 1929.
    • (1929) J. Math. Phys. MIT , vol.8 , pp. 70-73
    • Wiener, N.1
  • 3
    • 0001515953 scopus 로고
    • Immersion of the Fourier transfom in a continuous group of functional transformations
    • E. U. Condon, "Immersion of the Fourier transfom in a continuous group of functional transformations," in Proc. Nat. Acad. Sci. USA, vol. 23, pp. 158-164, 1937.
    • (1937) Proc. Nat. Acad. Sci. USA , vol.23 , pp. 158-164
    • Condon, E.U.1
  • 4
    • 84941852819 scopus 로고
    • Function spaces between crystal space and Fourier-transform space
    • A. L. Patterson, "Function spaces between crystal space and Fourier-transform space," Z Krist., vol. 112, pp. 22-32, 1959.
    • (1959) Z Krist. , vol.112 , pp. 22-32
    • Patterson, A.L.1
  • 5
    • 84980077803 scopus 로고
    • On a Hilbert space of analytic functions and an associated integral transform, part I
    • V. Bargmann, "On a Hilbert space of analytic functions and an associated integral transform, part I," Commun. Pure Appl. Math., vol. 14, pp. 187-214, 1961.
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 6
    • 77958407025 scopus 로고
    • The fractional Fourier transform and its application to quantum mechanics
    • V. Namias, "The fractional Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl., vol. 25, pp. 241-265, 1980.
    • (1980) J. Inst. Math. Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 8
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • _, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Processing, vol. 42, pp. 3084-3091, 1994.
    • (1994) IEEE Trans. Signal Processing , vol.42 , pp. 3084-3091
  • 9
    • 0027682286 scopus 로고
    • Image rotation, Wigner rotation, and the fractional Fourier transform
    • A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Amer., vol. 10, pp. 2181-2186, 1993.
    • (1993) J. Opt. Soc. Amer. , vol.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 10
    • 0027652515 scopus 로고
    • Fractional Fourier transforms and their optical implementation
    • D. Mendlovic and H. M. Ozatkas, "Fractional Fourier transforms and their optical implementation," J. Opt. Soc. Amer., vol. A 10, pp. 1875-1881, 2522-2531, 1993.
    • (1993) J. Opt. Soc. Amer. , vol.A 10 , pp. 1875-1881
    • Mendlovic, D.1    Ozatkas, H.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.