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1996 | 120 | 2 | 113-153
Tytuł artykułu

Closed ideals in certain Beurling algebras, and synthesis of hyperdistributions

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider the ideal structure of two topological Beurling algebras which arise naturally in the study of closed ideals of $A^{+}$. Even in the case of closed ideals I such that $h(I) = E_{1/p}$, the perfect symmetric set of constant ratio 1/p, some questions remain open, despite the fact that closed ideals J of $A^{+}$ such that $h(J) = E_{1/p}$ can be completely described in terms of inner functions. The ideal theory of the topological Beurling algebras considered in this paper is related to questions of synthesis for hyperdistributions such that $lim sup_{n→-∞}$ |\hatφ(n)| < ∞$ and such that $lim sup_{n→∞} (log^{+}|\hatφ(n)|)/√n < ∞$.
Słowa kluczowe
Czasopismo
Rocznik
Tom
120
Numer
2
Strony
113-153
Opis fizyczny
Daty
wydano
1996
otrzymano
1994-04-11
poprawiono
1996-05-06
Twórcy
autor
  • Laboratoire de Mathématiques Pures, ERS 0127, Université Bordeaux I, 351, Cours de la Libération, 33405 Talence Cedex, France
Bibliografia
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  • [27] M. Zarrabi, Synthèse spectrale dans certaines algèbres de Beurling sur le cercle unité, Bull. Soc. Math. France 118 (1990), 241-249.
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Bibliografia
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