Composition operators in the Dirichlet series setting

Hervé Queffélec

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Displaying similar documents to “Composition operators in the Dirichlet series setting”

Reducibility and unitary equivalence for a class of multiplication operators on the Dirichlet space

Yong Chen, Young Joo Lee, Tao Yu (2014)

Studia Mathematica

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We consider the reducibility and unitary equivalence of multiplication operators on the Dirichlet space. We first characterize reducibility of a multiplication operator induced by a finite Blaschke product and, as an application, we show that a multiplication operator induced by a Blaschke product with two zeros is reducible only in an obvious case. Also, we prove that a multiplication operator induced by a multiplier ϕ is unitarily equivalent to a weighted shift of multiplicity 2 if...

The product of two Dirichlet series

Frédéric Bayart (2004)

Acta Arithmetica

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Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

Hongfen Yuan, Valery V. Karachik (2022)

Czechoslovak Mathematical Journal

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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.

A note on the fourth moment of Dirichlet L-functions

H. M. Bui, D. R. Heath-Brown (2010)

Acta Arithmetica

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Some identities involving the Dirichlet L-function

Zhefeng Xu, Wenpeng Zhang (2007)

Acta Arithmetica

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Composition operators on the Dirichlet space and related problems.

Chacón, Gerardo A., Chacón, Gerardo R., Giménez, José (2006)

Boletín de la Asociación Matemática Venezolana

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Bounding L-functions by class numbers

A. Mallik (1981)

Acta Arithmetica

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An inhomogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator.

Hochmuth, Reinhard (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Generalized multiple Dirichlet series and generalized multiple polylogarithms

Kohji Matsumoto, Hirofumi Tsumura (2006)

Acta Arithmetica

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Growth of coefficients of universal Dirichlet series

A. Mouze (2007)

Annales Polonici Mathematici

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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.