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Quasianalyticity with respect to a second-order hyperbolic operator

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Literature cited

  1. S. Mandelbrojt, Series Adherentes, Regularisation des Suites, Applications, Gauthier-Villars, Paris (1952).

    Google Scholar 

  2. M. M. Dzhrbashyan, “An extension of the Denjoy-Carleman quasianalytic classes,” Izv. Akad. Nauk Arm. SSR, Ser. Mat.,3, No. 3, 171–248 (1968).

    Google Scholar 

  3. V. I. Matsaev and L. I. Ronkin, “Quasianalytic classes of functions of several variables,” Uch. Zap. Kharkov. Univ.,115, No. 4, 49–57 (1961).

    Google Scholar 

  4. V. G. Khryptun, “Classes of functions which are quasianalytic relative to a second-order linear hyperbolic operator,” Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 5, 1127–1141 (1970).

    Google Scholar 

  5. V. G. Khryptun, “Necessary conditions for operator quasianalyticity,” Differents. Uravn.,5, No. 9, 1690–1699 (1969).

    Google Scholar 

  6. A. G. Chernyavskii, “Operator quasianalyticity for functions of several variables,” Dokl. Akad. Nauk SSSR,244, No. 2, 296–299 (1979).

    Google Scholar 

  7. Yu. I. Lyubich and V. A. Tkachenko, “Quasianalyticity criteria for abstract operators,” Dokl. Akad. Nauk SSSR,190, No. 4, 772–774 (1970).

    Google Scholar 

  8. N. N. Chaus, “Uniqueness of a solution of the Cauchy problem for a differential equation with constant coefficients,” Ukr. Mat. Zh.,16, No. 3, 417–421 (1964).

    Google Scholar 

  9. B. J. Levin, Distribution of the Zeros of Entire Functions, Amer. Math. Soc. (1972).

  10. R. Courant, Methods of Mathematical Physics, Vol. 2: Partial Differential Equations, Wiley-Interscience, New York (1962).

    Google Scholar 

  11. V. S. Vladimirov and Yu. N. Drozhzhinov, “The generalized Cauchy problem for an ultraparabolic equation,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 6, 1341–1360 (1967).

    Google Scholar 

  12. S. G. Gindikin, “A generalization of parabolic differential operators to the case of multidimensional time,” Dokl. Akad. Nauk SSSR,173, No. 3, 499–502 (1967).

    Google Scholar 

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Authors and Affiliations

  1. Kharkov State University, USSR

    A. G. Chernyavskii

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  1. A. G. Chernyavskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 33, No. 6, pp. 841–846, November–December, 1981.

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Chernyavskii, A.G. Quasianalyticity with respect to a second-order hyperbolic operator. Ukr Math J 33, 638–641 (1981). https://doi.org/10.1007/BF01085446

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  • DOI: https://doi.org/10.1007/BF01085446

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