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Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.

A remark on the means of entire Dirichlet series

Gupta, V.P. (1979)

Portugaliae mathematica

A survey on uncertainty principles related to quadratic forms.

Aline Bonami, Bruno Demange (2006)

Collectanea Mathematica

A theorem concerning the means of an entire function an its derivatives.

J. P. Singh (1974)

Gaceta Matemática

About the growth of entire functions solutions of linear algebraic $q$ -difference equations

Jean-Pierre Ramis (1992)

Annales de la Faculté des sciences de Toulouse : Mathématiques

An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II.

Gaĭsin, A.M., Sergeeva, D.I. (2008)

Sibirskij Matematicheskij Zhurnal

An extremal property on entire functions with positive zeros.

Daniel F. Shea, Allen Weitsman (1989)

Revista Matemática Iberoamericana

An inequality associated with some entire functions.

Alimov, Shavkat A., Ilhan, Onur Alp (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

An Inequality for Trigonometric Polynomials

N. K. Govil, Mohammed A. Qazi, Qazi I. Rahman (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

The main result says in particular that if $t (ζ) : = \sum_{ν = - n} ⁿ c_{ν} e^{i ν ζ}$ is a trigonometric polynomial of degree n having all its zeros in the open upper half-plane such that |t(ξ)| ≥ μ on the real axis and cₙ ≠ 0, then |t’(ξ)| ≥ μn for all real ξ.

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A convolution relation with remainder estimate.

A Lower Bound for the de Bruijn-Newman Constant ... .

A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant $Λ$ .

A note on the construction of the proximate type of an entire Dirichlet series with index-pair $(p, q)$

A note on the growth of entire functions.

A Phragmén-Lindelöf type quasi-analyticity principle

A remark on the means of entire Dirichlet series

A survey on uncertainty principles related to quadratic forms.

A theorem concerning the means of an entire function an its derivatives.

About the growth of entire functions solutions of linear algebraic $q$ -difference equations

An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II.

An extremal property on entire functions with positive zeros.

An inequality associated with some entire functions.

An Inequality for Trigonometric Polynomials

An inequality involving the absolute value of an entire function and the counting function of its zeros.

Approximation and interpolation of entire functions and generalized orders

Approximation by transcendental polynomials

Approximation of entire functions of slow growth.

Approximation of entire functions of two complex variables in Banach spaces.

Arithmetic mean function of the real part of entire Dirichlet series I

Currently displaying 1 – 20 of 235