Universal interpolating sequences on some function spaces

Bahmann Yousefi; B. Tabatabaie

Displaying similar documents to “Universal interpolating sequences on some function spaces”

On the powerful part of $n^{2} + 1$

Jan-Christoph Puchta (2003)

Archivum Mathematicum

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We show that $n^{2} + 1$ is powerfull for $O (x^{2 / 5 + ϵ})$ integers $n \leq x$ at most, thus answering a question of P. Ribenboim.

A value-distribution criterion for the class $L \log L$ and some related questions

M. Essen, D. F. Shea, C. S. Stanton (1985)

Annales de l'institut Fourier

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We give a necessary and sufficient condition for an analytic function in $H^{1}$ to have real part in class $L$ $log L$ . This condition contains the classical one of Zygmund; other variants are also given.

On the value distribution of a class of arithmetic functions

Werner Georg Nowak (1996)

Commentationes Mathematicae Universitatis Carolinae

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This article deals with the value distribution of multiplicative prime-independent arithmetic functions $(α (n))$ with $α (n) = 1$ if $n$ is $N$ -free ( $N \geq 2$ a fixed integer), $α (n) > 1$ else, and $α (2^{n}) \to \infty$ . An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zeta-function. Applications to the enumerative functions of Abelian groups and of semisimple rings of given finite order are discussed.

Logaritmos y potencias imaginarias de operadores sobre espacios de Hilbert.

Khristo N. Boyadzhiev (1994)

Collectanea Mathematica

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On the lower order $(R)$ of an entire Dirichlet series

P. K. Jain, D. R. Jain (1974)

Annales de l'institut Fourier

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The estimations of lower order $(R)$ $λ$ in terms of the sequences ${a_{n}}$ and ${λ_{n}}$ for an entire Dirichlet series $f (s) = \sum_{n = 1}^{\infty} a_{n} e^{s λ n}$ , have been obtained, namely : $\begin{matrix} λ & = max_{{λ_{n_{p}}}} lim inf_{p \to \infty} \frac{λ_{n_{p}} log λ_{n_{p - 1}}}{log | a_{n_{p}} |^{- 1}} \\ = max_{{λ_{n_{p}}}} lim inf_{p \to \infty} \frac{(λ_{n_{p}} - λ_{n_{p - 1}}) log λ_{n_{p - 1}}}{log | a_{n_{p - 1}} | a_{n_{p}} |} . \end{matrix}$ One of these estimations improves considerably the estimations earlier obtained by Rahman (Quart. J. Math. Oxford, (2), 7, 96-99 (1956)) and Juneja and Singh (Math. Ann., 184(1969), 25-29 ).

Displaying similar documents to “Universal interpolating sequences on some function spaces”

On the powerful part of n 2 + 1

A value-distribution criterion for the class L log L and some related questions

On the value distribution of a class of arithmetic functions

Logaritmos y potencias imaginarias de operadores sobre espacios de Hilbert.

On the lower order ( R ) of an entire Dirichlet series

On the powerful part of $n^{2} + 1$

A value-distribution criterion for the class $L \log L$ and some related questions

On the lower order $(R)$ of an entire Dirichlet series