Results 11 to 20 of about 97,597 (185)
Hardy spaces of general Dirichlet series — a survey [PDF]
Banach Center Publications, 2019 The main purpose of this article is to survey on some key elements of a recent $\mathcal{H}_p$-theory of general Dirichlet series $\sum a_n e^{- _{n}s}$, which was mainly inspired by the work of Bayart and Helson on ordinary Dirichlet series $\sum a_n n^{-s}$.
Andreas Defant, Ingo Schoolmann
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Weighted inversion of general Dirichlet series [PDF]
Transactions of the American Mathematical Society, 2013 Inversion theorems of Wiener type are essential tools in analysis and number theory. We derive a weighted version of an inversion theorem of Wiener type for general Dirichlet series from that of Edwards from 1957, and we outline an alternative proof based on the duality theory of convex cones and extension techniques for characters of semigroups ...
Helge Glöckner, Lutz Lucht
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A limit theorem in the space of meromorphic functions for general Dirichlet series
Lietuvos Matematikos Rinkinys, 2003 There is not abstract.
Jonas Genys
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Discrete limit theorem for general Dirichlet series in the space of meromorphic function
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Renata Macaitienė
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Multilevel Evaluation of the General Dirichlet Series
Advances in the Theory of Nonlinear Analysis and its Application, 2020 In this Study, an accurate method for summing the general Dirichlet series is presented. Long range terms of this series are calculated by a multilevel approach. The Dirichlet series, in this technique, is decomposed into two parts, a local part and a smooth part.
Iyad Suwan
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A uniqueness property of general Dirichlet series [PDF]
Journal of Number Theory, 2019 11 ...
Anup B. Dixit
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Discrete limit theorems for general Dirichlet series. III
Open Mathematics, 2004 Laurinčikas A., Macaitienė R.
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On universality of general Dirichlet series [PDF]
In the present work, we establish sufficient conditions for a Dirichlet series induced by general frequencies to be universal with respect to vertical translations. Our results can be applied to known universal objects such as Hurwitz zeta functions and also can provide new examples of universal Dirichlet series including the alternating prime zeta ...
Frédéric Bayart, Athanasios Kouroupis
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$$\pmb {{\mathcal {H}}_{p}}$$-Theory of General Dirichlet Series
Journal of Fourier Analysis and Applications, 2019 Inspired by results of Bayart on ordinary Dirichlet series $\sum a_n n^{-s}$, the main purpose of this article is to start an $\mathcal{H}_p$-theory of general Dirichlet series $\sum a_n e^{- _{n}s}$. Whereas the $\mathcal{H}_p$-theory of ordinary Dirichlet series, in view of an ingenious identification of Bohr, can be seen as a sub-theory of Fourier ...
Andreas Defant, Ingo Schoolmann
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