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Volumn 44, Issue 4, 2003, Pages 1735-1750

The Balian-Low theorem for the symplectic form on ℝ2d

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EID: 0037397706     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1559415     Document Type: Article
Times cited : (22)

References (28)
  • 3
    • 0000421860 scopus 로고
    • Un principe d'incertitude fort en théorie du sign ou en mécanique quantique
    • R. Balian, "Un principe d'incertitude fort en théorie du sign ou en mécanique quantique," C. R. Acad. Sci. URSS 292. 1357-1362 (1981).
    • (1981) C. R. Acad. Sci. URSS , vol.292 , pp. 1357-1362
    • Balian, R.1
  • 4
    • 0000701704 scopus 로고
    • Heisenberg proof of the Balian-Low theorem
    • Battle, G., "Heisenberg proof of the Balian-Low theorem," Lett. Math. Phys. 15, 175-177 (1988).
    • (1988) Lett. Math. Phys. , vol.15 , pp. 175-177
    • Battle, G.1
  • 5
    • 0001358498 scopus 로고
    • Phase space localization theorem for ondelettes
    • Battle, G., "Phase space localization theorem for ondelettes," J. Math. Phys. 30, 2195-2196 (1989).
    • (1989) J. Math. Phys. , vol.30 , pp. 2195-2196
    • Battle, G.1
  • 6
    • 0002192277 scopus 로고
    • Frame decompositions, sampling, and uncertainty principle inequalities
    • CRC, Boca Raton, FL
    • Benedetto, J. J., "Frame decompositions, sampling, and uncertainty principle inequalities," Wavelets: Mathematics and Applications (CRC, Boca Raton, FL, 1994), pp. 247-304.
    • (1994) Wavelets: Mathematics and Applications , pp. 247-304
    • Benedetto, J.J.1
  • 10
  • 12
    • 0025482241 scopus 로고
    • The wavelet transform, time-frequency localization and signal analysis
    • Daubechies, I., "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inf. Theory 36, 961-1005 (1990).
    • (1990) IEEE Trans. Inf. Theory , vol.36 , pp. 961-1005
    • Daubechies, I.1
  • 14
  • 16
    • 21344498614 scopus 로고
    • Irregular sampling of wavelet and short-time Fourier transforms
    • Gröchenig, K., "Irregular sampling of wavelet and short-time Fourier transforms," Constr. Approx. 9, 283-297 (1993).
    • (1993) Constr. Approx. , vol.9 , pp. 283-297
    • Gröchenig, K.1
  • 19
    • 0034704432 scopus 로고    scopus 로고
    • Hermitian symplectic geometry and extension theory
    • Harmer, M., "Hermitian symplectic geometry and extension theory," J. Phys. A 33, 9193-9203 (2000).
    • (2000) J. Phys. A , vol.33 , pp. 9193-9203
    • Harmer, M.1
  • 21
    • 0033185001 scopus 로고    scopus 로고
    • Discrete multi-Gabor expansions
    • Li. S., "Discrete multi-Gabor expansions," IEEE Trans. Inf. Theory 45, 1954-1967 (1999).
    • (1999) IEEE Trans. Inf. Theory , vol.45 , pp. 1954-1967
    • Li, S.1
  • 23
    • 0002544660 scopus 로고
    • Complete sets of wave packets
    • edited by C. DeTar et al. (World Scientific, Singapore)
    • Low, F., "Complete sets of wave packets," in A Passion for Physics - Essays in Honor of Geoffrey Chew, edited by C. DeTar et al. (World Scientific, Singapore, 1985), pp. 17-22.
    • (1985) A Passion for Physics - Essays in Honor of Geoffrey Chew , pp. 17-22
    • Low, F.1
  • 24
    • 0003796632 scopus 로고
    • Springer-Verlag, New York
    • Maz'ja, V., Sobolev Spaces (Springer-Verlag, New York, 1985).
    • (1985) Sobolev Spaces
    • Maz'Ja, V.1
  • 25
    • 0003930336 scopus 로고
    • Interscience, New York
    • Messiah, A., Quantum Mechanics (Interscience, New York, 1961), Vol. I.
    • (1961) Quantum Mechanics , vol.1
    • Messiah, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.