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Pseudocharacters of a free group which are invariant under the group of substitution automorphisms

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References

  1. S. M. Ulam, A Collection of Mathematical Problems, Wiley & Sons, Interscience Publ, New York and London (1960).

    MATH  Google Scholar 

  2. D. H. Hyers, “On the stability of the linear functional equation,” Proc. Nat. Acad. Sci. USA,27, No. 2, 222–224 (1941).

    Article  MATH  MathSciNet  Google Scholar 

  3. D. H. Hyers and S. M. Ulam, “On approximate isometry,” Bull. Amer. Math. Soc.,51, 228–292 (1945).

    Article  MathSciNet  Google Scholar 

  4. D. H. Hyers and S. M. Ulam, “Approximate isometry on the space of continuous functions,” Ann. of Math.,48, No. 2, 285–289 (1947).

    Article  MathSciNet  Google Scholar 

  5. J. Baker, L. Lawrence, and F. Zorzitto, “The stability of the equationf(x+y)=f(x)f(y),” Proc. Amer. Math. Soc.,74, No. 2, 242–246 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Baker, “The stability of the cosine equation,” Proc. Amer. Math. Soc.,80, No. 3, 411–416 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  7. K. Grove, H. Karcher, and E. A. Roh, “Jacobi fields and Finsler metrics on a compact Lie groups with an application to differential pinching problems,” Math. Ann.,211, No. 1, 7–21 (1974).

    Article  MATH  MathSciNet  Google Scholar 

  8. P. de la Harpe and M. Karoubi, “Represéntations approchées d’un groupe dans une algébre de Banach,” Manuscripta Math.,22, No. 3, 297–310 (1977).

    Google Scholar 

  9. D. Kazhdan, “On ε-representations,” Israel J. Math.,43, No. 4, 315–323 (1982).

    MATH  MathSciNet  Google Scholar 

  10. A. I. Shtern, “The pseudocharacter determined by the Rademacher symbol,” Uspekhi Mat. Nauk,45, No. 3, 224–226 (1990).

    MATH  MathSciNet  Google Scholar 

  11. A. I. Shtern, “Quasirepresentations and pseudorepresentations,” Funktsional. Anal. i Prilozhen.,25, No. 1, 70–73 (1991).

    MathSciNet  Google Scholar 

  12. V. A. Faîziev, “Pseudocharacters on direct products of semigroups,” Funktsional. Anal. i Prilozhen.,21, No. 1, 86–87 (1987).

    Article  MathSciNet  Google Scholar 

  13. V. A. Faîziev, “Pseudocharacters on free groups and some group constructions,” Uspekhi Mat. Nauk,43, No. 5, S. 225–226 (1988).

    Google Scholar 

  14. V. A. Faîziev, “On spaces of pseudocharacters on direct products of semigroups,” Mat. Zametki,52, No. 6, 119–130 (1992).

    Google Scholar 

  15. V. A. Faîziev, “Pseudocharacters on the groupSL(2,Z),” Funktsional. Anal. i Prilozhen.,28, No. 4, 77–79 (1992).

    Google Scholar 

  16. V. A. Faîziev, “Pseudocharacters on subdirect products of semigroups,” Mat. Zametki,53, No. 2, 132–139 (1993).

    Google Scholar 

  17. V. A. Faîziev, “On stability of a functional equation on groups,” Uspekhi Mat. Nauk,48, No. 1, 193–194 (1993).

    Google Scholar 

  18. V. A. Faîziev, “Pseudocharacters on a free semigroup,” Izv. Akad. Nauk Ser. Mat.,58, No. 1, 121–143 (1994).

    Google Scholar 

  19. V. A. Faîziev, “Pseudocharacters on free semigroups,” Russian J. Math. Phys.,3, No. 2, 191–206 (1995).

    MATH  MathSciNet  Google Scholar 

  20. V. A. Faîziev, “On almost representations of groups,” Proc. Amer. Math. Soc.,127, No. 1, 57–61. (1999).

    Article  MATH  MathSciNet  Google Scholar 

  21. V. A. Faîziev, “On a theorem of de la Harpe and Karoubi,” Uspekhi Mat. Nauk,48, No. 2, 203–204 (1993).

    MathSciNet  Google Scholar 

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Tver’. Translated fromSibirskiĭ Matematicheskiĭ Zhurnal, Vol. 40, No. 6, pp. 1397–1408, November–December, 1999.

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Faĭziev, V.A. Pseudocharacters of a free group which are invariant under the group of substitution automorphisms. Sib Math J 40, 1188–1198 (1999). https://doi.org/10.1007/BF02677543

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