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Volumn , Issue 7, 1997, Pages 329-347

L∞ Norms and Quantum Ergodicity on the Sphere

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EID: 0001264939     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792897000238     Document Type: Article
Times cited : (55)

References (17)
  • 3
    • 0003194420 scopus 로고
    • Angular Momentum in Quantum Physics: Theory and Application
    • Addison-Wesley Publishing Co., Reading, Mass.
    • L. Biedenharn and J. Louck, Angular Momentum in Quantum Physics: Theory and Application, Encyclopedia Math. Appl., 8, Addison-Wesley Publishing Co., Reading, Mass., 1981.
    • (1981) Encyclopedia Math. Appl. , vol.8
    • Biedenharn, L.1    Louck, J.2
  • 5
    • 0001656782 scopus 로고
    • ∞ norms of eigenfunctions of arithmetic surfaces
    • ∞ norms of eigenfunctions of arithmetic surfaces, Ann. of Math. 141 (1995), 301-320.
    • (1995) Ann. of Math. , vol.141 , pp. 301-320
    • Iwaniec, H.1    Sarnak, P.2
  • 6
    • 0003266521 scopus 로고
    • Some Random Series of Functions
    • Cambridge University Press, Cambridge
    • J-P. Kahane, Some Random Series of Functions, Cambridge Stud. Adv. Math. 5, Cambridge University Press, Cambridge, 1968.
    • (1968) Cambridge Stud. Adv. Math. , vol.5
    • Kahane, J.-P.1
  • 7
    • 84990604340 scopus 로고
    • Hecke operators and distributing points on the sphere I
    • A. Lubotzky, R. Phillips, and P. Sarnak, Hecke operators and distributing points on the sphere I, Comm. Pure Appl. Math. 39 (1986), S149-S186.
    • (1986) Comm. Pure Appl. Math. , vol.39
    • Lubotzky, A.1    Phillips, R.2    Sarnak, P.3
  • 8
    • 84990576527 scopus 로고
    • Hecke operators and distributing points on the sphere II
    • _, Hecke operators and distributing points on the sphere II, Comm. Pure Appl. Math. 40 (1987), 401-420.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 401-420
  • 9
    • 0030528139 scopus 로고    scopus 로고
    • The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres
    • K. Okikiolu, The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres, J. Amer. Math. Soc. 9 (1996), 345-372.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 345-372
    • Okikiolu, K.1
  • 10
    • 1842643955 scopus 로고
    • Uber ein asymptotische Darstellung der Jacobischen Polynome durch Besselsche Funktionen
    • H. Rau, Uber ein asymptotische Darstellung der Jacobischen Polynome durch Besselsche Funktionen, Math. Zeit. 40 (1936), 683-692.
    • (1936) Math. Zeit. , vol.40 , pp. 683-692
    • Rau, H.1
  • 11
    • 0000662003 scopus 로고
    • Arithmetic Quantum Chaos
    • Bar-Ilan Univ., Ramat Gan
    • P. Sarnak, Arithmetic Quantum Chaos, Israel Math. Conf. Proc. 8, Bar-Ilan Univ., Ramat Gan, 1995, 183-236.
    • (1995) Israel Math. Conf. Proc. , vol.8 , pp. 183-236
    • Sarnak, P.1
  • 12
    • 0001743035 scopus 로고
    • Bounds for eigenfunctions of differential operators
    • A. Seeger and C. Sogge, "Bounds for eigenfunctions of differential operators," Indiana Univ. Math. J. 38 (1989), 669-682.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 669-682
    • Seeger, A.1    Sogge, C.2
  • 13
    • 0003339568 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc., New York
    • G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ. 23, Amer. Math. Soc., New York, 1939.
    • (1939) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szegö, G.1
  • 16
    • 84972564374 scopus 로고
    • Uniform distribution of eigenfunctions on compact hyperbolic surfaces
    • S. Zelditch, Uniform distribution of eigenfunctions on compact hyperbolic surfaces, Duke Math. J. (1987), 919-941.
    • (1987) Duke Math. J. , pp. 919-941
    • Zelditch, S.1
  • 17
    • 0002492588 scopus 로고
    • Quantum ergodicity on the sphere
    • _, Quantum ergodicity on the sphere, Comm. Math. Phys. 146 (1992), 61-71.
    • (1992) Comm. Math. Phys. , vol.146 , pp. 61-71


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.