Article PDF
Avoid common mistakes on your manuscript.
References
Beurling, A., Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionelle.9ème congrès des mathématiciens scandinaves, août 1938, Helsinki (1939) 345–366.
Beurling, A., Sur les spectres des fonctions.Colloques internationaux du C.N.R.S., Analyse harmonique, Nancy (1947), 9–29.
Domar, Y., Harmonic analysis based on certain commutative Banach algebras.Acta Math. 96 (1956), 1–66.
— Spectral analysis in spaces of sequences summable with weights.J. Functional Analysis 5 (1970), 1–13.
Geįsberg, S. P., Completeness of function shifts in certain spaces.Dokl. Akad. Nauk SSSR 173 (1967), 741–744. English translation inSoviet Math. Dokl. 8 (1967), 451–454.
Geįsberg, S. P., &Konjuhovskiį, V. S., On primary ideals in rings of functions integrable with weight. (Russian.)Tartu Riikl. Ül. Toimetised, 253 (1970), 134–144. (R ZMat. 9 (1971), p. 78).
——, Description of certain systems of primary ideals in rings of functions integrable with weight. (Russian.)Leningrad. Gos. Ped. Inst. Učen. Zap., 404 (1971), 349–361. (R ZMat. 12 (1971), p. 106.)
Hirschman, Jr., I. I., On the behavior of Fourier transforms at infinity and on quasianalytic classes of functions.Amer. J. Math., 72 (1950), 200–213.
Hoffman, K.,Banach spaces of analytic functions. Prentice-Hall, Englewood Cliffs, N. J. (1962).
Konjuhovskiį, V. S., On the closedness of certain ideals in the ringL α1 (R). (Russian.)Doklady XXVIII konferencii LISI, (1969), 5–8.
Korenbljum, B. I., A generalization of Wiener's Tauberian theorem and spectrum of fast-growing functions. (Russian.)Trudy Moskov. Mat. Obšč., 7 (1958), 121–148. (MR 21, 266.)
Loomis, L.,An introduction to abstract harmonic analysis. Van Nostrand, New York (1953).
Mandelbrojt, S.,Séries adhérentes, régularisation des suites, applications. Gauthier-Villars, Paris (1952).
Nyman, B.,On the one-dimensional translation group and semigroup in certain function spaces. Thesis, Uppsala (1950).
Wiener, N.,The Fourier integral and certain of its applications. Cambridge (1933).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vretblad, A. Spectral analysis in weightedL 1 spaces onR . Ark. Mat. 11, 109–138 (1973). https://doi.org/10.1007/BF02388510
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02388510