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Volumn 2, Issue 5, 1996, Pages

An Uncertainty Principle for Eigenfunction Expansions

Author keywords

Eigenfunction expansion; Hardy's theorem; Uncertainty principle

Indexed keywords


EID: 84951604997     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 0042717012 scopus 로고
    • A qualitative uncertainty principle for semi-simple Lie groups
    • Cowling, M., Price, J., and Sitaram, A. (1988). A qualitative uncertainty principle for semi-simple Lie groups. J. Austral. Math. Soc. Ser. A 45, 127-132.
    • (1988) J. Austral. Math. Soc. Ser. A , vol.45 , pp. 127-132
    • Cowling, M.1    Price, J.2    Sitaram, A.3
  • 2
    • 0040569776 scopus 로고
    • An uncertainty principle for integral operators
    • De Jeu, M. F. E. (1994). An uncertainty principle for integral operators. J. Funct. Anal. 122, 247-253.
    • (1994) J. Funct. Anal. , vol.122 , pp. 247-253
    • De Jeu, M.F.E.1
  • 3
    • 0001616908 scopus 로고
    • Uncertainty principle and signal recovery
    • Donoho, D. L., and Stark, P. B. (1989). Uncertainty principle and signal recovery, SIAM J. Appl. Math. 49, 906-931.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 906-931
    • Donoho, D.L.1    Stark, P.B.2
  • 5
    • 0346717945 scopus 로고
    • A qualitative uncertainty principle for certain locally compact groups
    • Echteroff, S., Kaniuth, E., and Kumar, A. (1991). A qualitative uncertainty principle for certain locally compact groups. Forum Math. 3, 355-369.
    • (1991) Forum Math. , vol.3 , pp. 355-369
    • Echteroff, S.1    Kaniuth, E.2    Kumar, A.3
  • 6
    • 36749117723 scopus 로고
    • Inequalities and uncertainty principles
    • Faris, W. G. (1978). Inequalities and uncertainty principles. J. Math. Phys. 19, 461-466.
    • (1978) J. Math. Phys. , vol.19 , pp. 461-466
    • Faris, W.G.1
  • 7
    • 0040470942 scopus 로고
    • Spherical functions on semisimple Lie groups
    • W. Boothby and G. Weiss, eds., Marcel-Dekker, New York
    • Gangolli, R. (1972). Spherical functions on semisimple Lie groups. Symmetric Spaces (W. Boothby and G. Weiss, eds.). Marcel-Dekker, New York, 41-92.
    • (1972) Symmetric Spaces , pp. 41-92
    • Gangolli, R.1
  • 9
    • 0003325685 scopus 로고
    • Invariance theory, the heat equation, and the Atiyah - Singer index theorem
    • Publish or Perish Inc., New York
    • Gilkey, P. B. (1984). Invariance theory, the heat equation, and the Atiyah - Singer index theorem. Math. Ser., no. 11. Publish or Perish Inc., New York.
    • (1984) Math. Ser. , Issue.11
    • Gilkey, P.B.1
  • 11
    • 0037813505 scopus 로고
    • A qualitative uncertainty principle for unimodular groups of type I
    • Hogan, J. A. (1993). A qualitative uncertainty principle for unimodular groups of type I, Trans. Amer. Math. Soc. 340, 587-594.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 587-594
    • Hogan, J.A.1
  • 12
    • 0001672557 scopus 로고
    • A uniqueness theorem of Beurling for Fourier transform pairs
    • Hörmander, L. (1991). A uniqueness theorem of Beurling for Fourier transform pairs. Ark. Mat. 29, 237-240.
    • (1991) Ark. Mat. , vol.29 , pp. 237-240
    • Hörmander, L.1
  • 16
    • 0002550568 scopus 로고
    • Uncertainty principles in Harmonic analysis
    • Strichartz, R. S. (1989). Uncertainty principles in Harmonic analysis. J. Func. Anal. 84, 97-114.
    • (1989) J. Func. Anal. , vol.84 , pp. 97-114
    • Strichartz, R.S.1
  • 17
    • 0003244651 scopus 로고
    • Lectures on Hermite and Laguerre expansions
    • Princeton Univ. Press, Princeton, N.J.
    • Thangavelu, S. (1993). Lectures on Hermite and Laguerre expansions. Math. Notes, no. 42. Princeton Univ. Press, Princeton, N.J.
    • (1993) Math. Notes , Issue.42
    • Thangavelu, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.