This is a preview of subscription content, log in via an institution to check access.
References
T. Carleman, Les fonctions quasi analytiques, Gauthier-Villars, Paris, 1926; Jbuch Fortschritte Math. 52 (1926), 255.
A. Denjoy, Sur les fonctions quasi analytiques d’une variable réelle, C. R. Acad. Sci. Paris 173 (1921), 1329–1331.
M. M. Dzrbašian, Integral Transforms and Representations of Functions in the Complex Domains, Nauka, Moscow (1966) [Russian].
M. M. Dzhrbashyan, Lecture Notes in Math. 399, Springer-Verlag, Berlin, 1974, pp. 94–118.
M. M. Dzrbašian, Interpolation and spectral expansions associated with differential operators of fractional order, Izv. Akad. Nauk Armyan SSR, Ser. Mat., 19, No. 2 (1984), 81–181 [Russian]; English translation, Sov. J. Contemporary Math. Anal. 19, No. 2 (1984).
M. M. Dzrbašian, Interpolation and spectral expansions associated with differential operators of fractional order, A. Haar Memorial Conference, Budapest (Hungary), 1985, pp.303–322.
M. M. ДЖpбaШян, Расширение квазианалитических … Изв. AH. ApмCCP, Математика, 3 (1968), 171–248. Translated as: M. M. Dzrbašian, An extension of the Denjoy-Carleman quasi-analytic classes, Amer. Math. Soc. Transi. 2 (1977), 110, 1–59.
M. M. ДЖpбaШян, Γ. C. Кочарян, Теоремы единственности для некоторых классов аналитических функцифункций Изв. AH CCCP, cep. матем. 37 (1973), 98–134.
M. M. ДЖpбaШян, B. M. Мартиросян, К теории б-квазианалитических, классов, Изв. AH. ApмCCP, Математика 17 (1982), 264–306.
M. M. Djrbashian and S. G. Raphaelian, Interpolation theorems and expansions with respect to Fourier type systems, J. Approx. Theory 50 (1987), 297–325.
J. Hadamard, Sur la généralisation de la notion analytique, C. R. Séanses Soc. Math. France 40 (1912), 28–29.
J.-P. Kahane, Quasi analyticité des fonctions moyenne-périodiques C. R. Acad. Sci. Paris 236 (1953), 567–571.
J.-P. Kahane, Sur quelques problèmes d’unicité et de prolongement, relatifs aux fonctions approachables par des sommes d’exponentielles Ann. Inst.
A. A. Китбалян, Задача б-квазианалитичности в классач ДанжуаКарлемана Изв. AH. ApмCCP, Математика 10 (1975), 207–241.
S. Mandelbrojt, Séries Adhérentes. Régularisation des suites, Applications, Paris, 1952.
S. Mandelbrojt, Sur une nouvelle classe quasi-analytique de fonctions indefiniment derivables, C.R. Acad. Sci. Paris 198 (1934), 324–326.
S. Mandelbrojt, Quasi analyticité des series de Fourier Ann. Sci. Norm. Sup. Pisa (2) 4 (1935), 225–230.
S. Mandelbrojt, Series de Fourier et classes quasi-analytiques de fonctions, Gauthier-Villars, Paris, 1935.
S. Mandelbrojt, Rice Institute Pamphlet 29, January 1942 (reproduced in “Selecta” of S. Mandelbrojt).
B. M. Мартиросян, К. P. Овесян, К теории б-квазианалитических классов M. M. Джрбашяна в угловых областях, Изв AH. ApмCCP 21 (1986), 392–413.
B. M. Мартиросян, К. P. Овесян, К теории б-квазианалитических классов M. M. Джрбашяна в угловых областях, ДАН ApмCCP 82 (1986), 147–150.
A. Ostrowski, Über quasi-analytische Functionen und Bestimmtheit asymptotischer Entwicklungen, Acta Math. 52 (1930), 181–266.
S. G. Raphaelian, On basisness of some systems of entire functions, Dokl. Akad. Nauk Arm. SSR, 70, No. 4 (1980), 198–204 [Russian].
R. B. Salinas, Functions with null moments, Rev. Acad. Ciencias Madrid 49 (1955), 331–368.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Djrbashian, M.M. Harmonic Analysis in the Complex Domain and Applications in the Theory of Analytic and Infinitely Differentiable Functions. J. Anal. Math. 60, 33–43 (1993). https://doi.org/10.1007/BF03341965
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03341965