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Abstract:

In the first part of this paper, Lemmas (1.1) and (1.4) provide a generalization of the fact that no Cauchy measures exist in the big disc. In the second part we show that this fact implies the existence of the H. Bohr and J. Favard counterexamples concerning harmonic and analytic almost periodic functions. © 1974 American Mathematical Society.

Registro:

Documento: Artículo
Título:Gleason parts and certain counterexamples in the big disc context
Autor:Milaszewicz, J.P.
Filiación:Departamento de matematica, Facultad de ciencias exactas y naturales, Ciudad universitaria, Buenos Aires, Argentina
Año:1974
Volumen:45
Número:2
Página de inicio:217
Página de fin:222
DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v45_n2_p217_Milaszewicz

Referencias:

  • Arens, R., Singer, I.M., Generalized analytic functions (1956) Trans. Amer. Math. Soc, 81, pp. 379-393. , MR 17, 1226
  • Arens, R., A Banach algebra generalization of conformal mappings of the disc (1956) Trans. Amer. Math. Soc, 81, pp. 501-513. , MR 17, 1226
  • Besicovitch, A.S., (1932) Almost Periodic Functions, , Cambridge Univ. Press
  • Bishop, E., Representing measures for points in a uniform algebra (1964) Bull. Amer. Math. Soc, 70, pp. 121-122. , MR 28 #1510
  • Bohr, H., Zur Theorie der fastperiodischen Funktionen (1926) III. Dirichletentwick-Lung Analytischer Funktionen, Acta Math, 47, pp. 237-281
  • Favard, J., (1927) Sur Les Fonctions Harmoniques Presque périodiques, Thèse, , Paris, Gauthier-Villars, Editeurs. T. W. Gamelin, Uniform algebras, Prentice-Hall, Englewood Cliffs, N. J., 1969
  • Gleason, A.M., Function algebras (1957) Seminars on Analytic Functions, 2, pp. 213-226. , Institute for Advanced Study, Princeton, N. J
  • Hoffman, K., (1950) Fatous Theorem for Generalized Analytic Functions, Seminars on Analytic Functions, 2, pp. 227-239. , Institute for Advanced Study, Princeton, N. J
  • Michael, R., Boundary behavior of generalized analytic functions (1958) Trans. Amer. Math. Soc, 87, pp. 447-466. , MR 20 #3424
  • Hoffman, K., Singer, I.M., Maximal subalgebras of C(T) (1957) Amer. J. Math, 79, pp. 295-305. , MR 19, 46
  • Hoffman, K., Analytic functions and logmodular Banach algebras (1962) Acta Math, 108, pp. 271-317. , MR 26 #6820

Citas:

---------- APA ----------
(1974) . Gleason parts and certain counterexamples in the big disc context. Proceedings of the American Mathematical Society, 45(2), 217-222.
http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0
---------- CHICAGO ----------
Milaszewicz, J.P. "Gleason parts and certain counterexamples in the big disc context" . Proceedings of the American Mathematical Society 45, no. 2 (1974) : 217-222.
http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0
---------- MLA ----------
Milaszewicz, J.P. "Gleason parts and certain counterexamples in the big disc context" . Proceedings of the American Mathematical Society, vol. 45, no. 2, 1974, pp. 217-222.
http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0
---------- VANCOUVER ----------
Milaszewicz, J.P. Gleason parts and certain counterexamples in the big disc context. Proc. Am. Math. Soc. 1974;45(2):217-222.
http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0