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Volumn 9, Issue 2, 1996, Pages 345-372

The analogue of the strong szegö limit theorem on the 2- and 3-Dimensional spheres

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EID: 0030528139     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-96-00188-9     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 0347925283 scopus 로고
    • Generalization of the Szegö limit theorem to the multidimensional case
    • R. Doktorskiǐ, Generalization of the Szegö limit theorem to the multidimensional case, Sibirsk. Mat. Zh. 25 (1984), no. 5, 20-29; English transl., Siberian Math. J. 25 (1984), 701-710. MR 86g:47027
    • (1984) Sibirsk. Mat. Zh. , vol.25 , Issue.5 , pp. 20-29
    • Doktorskiǐ, R.1
  • 2
    • 0347925283 scopus 로고
    • English transl., MR 86g:47027
    • R. Doktorskiǐ, Generalization of the Szegö limit theorem to the multidimensional case, Sibirsk. Mat. Zh. 25 (1984), no. 5, 20-29; English transl., Siberian Math. J. 25 (1984), 701-710. MR 86g:47027
    • (1984) Siberian Math. J. , vol.25 , pp. 701-710
  • 3
    • 84956139255 scopus 로고
    • On Szegö's limit theorem
    • MR 45:804
    • B. Golinskiǐ and I. Ibragimov, On Szegö's limit theorem, Math. USSR-Izv. 5 (1971), no. 2, 421-444. MR 45:804
    • (1971) Math. USSR-Izv. , vol.5 , Issue.2 , pp. 421-444
    • Golinskiǐ, B.1    Ibragimov, I.2
  • 4
    • 0010952295 scopus 로고
    • Toeplitz forms and their applications
    • Univ. of Calif. Press, Berkeley and Los Angeles, MR 20:1349
    • U. Grenader and G. Szegö, Toeplitz forms and their applications, Calif. Mono. in Math. Sci., Univ. of Calif. Press, Berkeley and Los Angeles, 1958. MR 20:1349
    • (1958) Calif. Mono. in Math. Sci.
    • Grenader, U.1    Szegö, G.2
  • 5
    • 0000499278 scopus 로고
    • The strong Szegö limit theorem for Toeplitz determinants
    • MR 35:2064
    • I. Hirschman Jr., The strong Szegö limit theorem for Toeplitz determinants, Amer. J. Math. 88 (1966), 577-614. MR 35:2064
    • (1966) Amer. J. Math. , vol.88 , pp. 577-614
    • Hirschman Jr., I.1
  • 6
    • 0001178462 scopus 로고
    • The analysis of linear partial differential operators, III
    • Springer Verlag. MR 87d:35002a
    • L. Hörmander, The analysis of linear partial differential operators, III, Grundlehr. der mathemat. Wissenschaften 275 (1985), Springer Verlag. MR 87d:35002a
    • (1985) Grundlehr. der Mathemat. Wissenschaften , vol.275
    • Hörmander, L.1
  • 8
    • 84972538834 scopus 로고
    • Toeplitz matrices, translation kernels and a related problem in probability theory
    • MR 16:31
    • M. Kac, Toeplitz matrices, translation kernels and a related problem in probability theory, Duke Math. J. 21 (1954), 501-509. MR 16:31
    • (1954) Duke Math. J. , vol.21 , pp. 501-509
    • Kac, M.1
  • 9
    • 0347925282 scopus 로고
    • Error estimate in the generalized Szegö theorem
    • (Saint Jean de Monts, 1991), Exposé XV, École Polytech., Palaiseau, MR 92j:35141
    • A. Laptev and Y. Safarov, Error estimate in the generalized Szegö theorem, Journées: "Equ. aux Dérivées Partielles" (Saint Jean de Monts, 1991), Exposé XV, École Polytech., Palaiseau, 1991. MR 92j:35141
    • (1991) Journées: "Equ. aux Dérivées Partielles"
    • Laptev, A.1    Safarov, Y.2
  • 10
    • 0000234202 scopus 로고
    • A multidimensional analog of a limit theorem of G. Szegö
    • MR 54:10958
    • I. Linnik, A multidimensional analog of a limit theorem of G. Szegö, Math. USSR Izv. 9 (1975), 1323-1332. MR 54:10958
    • (1975) Math. USSR Izv. , vol.9 , pp. 1323-1332
    • Linnik, I.1
  • 14
    • 0003217929 scopus 로고
    • Orthogonal polynomials
    • Providence, Rhode Island, MR 51:8724
    • G. Szegö, Orthogonal polynomials, Amer. Math. Soc., Providence, Rhode Island, (1975). MR 51:8724
    • (1975) Amer. Math. Soc.
    • Szegö, G.1
  • 15
    • 0001543454 scopus 로고
    • n and band asymptotics
    • MR 86c:58140
    • n and band asymptotics, J. Func. Anal. 59 (1984), 535-556. MR 86c:58140
    • (1984) J. Func. Anal. , vol.59 , pp. 535-556
    • Uribe, A.1
  • 16
    • 0003212481 scopus 로고
    • Special functions and the theory of group representations
    • Amer. Math. Soc., Providence, Rhode Island, MR 37:5429
    • N. Vilenkin, Special functions and the theory of group representations, Transl. of Math. Mono. 22, Amer. Math. Soc., Providence, Rhode Island, (1968). MR 37:5429
    • (1968) Transl. of Math. Mono. , vol.22
    • Vilenkin, N.1
  • 17
    • 0003266973 scopus 로고
    • Asymptotic expansions for pseudodifferential operators in bounded domains
    • Springer Verlag, MR 87d:35156
    • H. Widom, Asymptotic expansions for pseudodifferential operators in bounded domains, Lect. Notes in Math. 1152, Springer Verlag, (1985). MR 87d:35156
    • (1985) Lect. Notes in Math. , vol.1152
    • Widom, H.1
  • 18
    • 84857266890 scopus 로고
    • Szegö's theorem and a complete symbolic calculus for pseudo-differential operators
    • Princeton Univ. Press, MR 81b:58043
    • H. Widom, Szegö's theorem and a complete symbolic calculus for pseudo-differential operators, Seminar on Singularities of Solutions, Princeton Univ. Press, (1979), pp. 261-283. MR 81b:58043
    • (1979) Seminar on Singularities of Solutions , pp. 261-283
    • Widom, H.1


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