메뉴 건너뛰기




Volumn 45, Issue 11, 2004, Pages 4239-4254

Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szego class

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22544459932     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1794842     Document Type: Article
Times cited : (14)

References (14)
  • 3
    • 0000617016 scopus 로고
    • Uncertainty relations for information entropy in wave mechanics
    • Bialynicki-Birula, I. and Mycielsky, J., " Uncertainty relations for information entropy in wave mechanics, " Commun. Math. Phys. 44, 129-132 (1975).
    • (1975) Commun. Math. Phys. , vol.44 , pp. 129-132
    • Bialynicki-Birula, I.1    Mycielsky, J.2
  • 4
    • 0002406120 scopus 로고    scopus 로고
    • Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
    • Dehesa, J. S., Van Assche, W., and Yáñez, R. J., " Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials, " Methods Appl. Anal. 4, 91-110 (1997).
    • (1997) Methods Appl. Anal. , vol.4 , pp. 91-110
    • Dehesa, J.S.1    Van Assche, W.2    Yáñez, R.J.3
  • 7
    • 0141614025 scopus 로고    scopus 로고
    • Sum rules for Jacobi matrices and their applications to spectral theory
    • Killip, R. and Simon, B., " Sum rules for Jacobi matrices and their applications to spectral theory, " Ann. Math. 158, 253-321 (2003).
    • (2003) Ann. Math. , vol.158 , pp. 253-321
    • Killip, R.1    Simon, B.2
  • 8
    • 0003577880 scopus 로고    scopus 로고
    • Orthogonal polynomials with exponential weights
    • Springer-Verlag, Berlin
    • Levin, A.L. and Lubinsky, D.S., Orthogonal Polynomials with Exponential Weights, Vol. 4 of CMS Books in Mathematics (Springer-Verlag, Berlin, 2001).
    • (2001) CMS Books in Mathematics , vol.4
    • Levin, A.L.1    Lubinsky, D.S.2
  • 9
    • 0042843304 scopus 로고    scopus 로고
    • Asymptotics for entropy integrals associated with exponential weights
    • Levin, A. L. and Lubinsky, D. S., " Asymptotics for entropy integrals associated with exponential weights, " J. Comput. Appl. Math. 156, 265-283 (2003).
    • (2003) J. Comput. Appl. Math. , vol.156 , pp. 265-283
    • Levin, A.L.1    Lubinsky, D.S.2
  • 10
    • 38249041378 scopus 로고
    • Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
    • Maté, A., Nevai, P., and Totik, V., " Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials, " J. Approx. Theory 46, 314-322 (1986).
    • (1986) J. Approx. Theory , vol.46 , pp. 314-322
    • Maté, A.1    Nevai, P.2    Totik, V.3
  • 12
    • 0005458898 scopus 로고
    • On the asymptotics of the ratio of orthogonal polynomials
    • Rakhmanov, E. A., " On the asymptotics of the ratio of orthogonal polynomials, " Math. USSR. Sb. 32, 199-213 (1977).
    • (1977) Math. USSR. Sb. , vol.32 , pp. 199-213
    • Rakhmanov, E.A.1
  • 13
    • 34547109818 scopus 로고
    • Position and momentum information entropies of the D -dimensional harmonic oscillator and hydrogen atom
    • Yáñez, R. J., Van Assche, W., and Dehesa, J. S., " Position and momentum information entropies of the D -dimensional harmonic oscillator and hydrogen atom, " Phys. Rev. A 50, 3065-3079 (1994).
    • (1994) Phys. Rev. A , vol.50 , pp. 3065-3079
    • Yáñez, R.J.1    Van Assche, W.2    Dehesa, J.S.3
  • 14
    • 0033228877 scopus 로고    scopus 로고
    • Entropic integrals of hyperspherical harmonics and spatial entropy of D -dimensional central potentials
    • Yañez, R. J., Van Assche, W., González-Férez, R., and Dehesa, J. S., " Entropic integrals of hyperspherical harmonics and spatial entropy of D -dimensional central potentials, " J. Math. Phys. 40, 5675-5686 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 5675-5686
    • Yañez, R.J.1    Van Assche, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.