$$\pmb {{\mathcal {H}}_{p}}$$-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 ...
Defant, Andreas, Schoolmann, Ingo
openaire +4 more sources
Regularization of odd-dimensional AdS gravity: Kounterterms [PDF]
, 2006 As an alternative to the Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature K_{ij} that regularize the AdS gravity action. Instead of a Dirichlet boundary
B. Zumino +25 more
core +2 more sources
Julia lines of general random dirichlet series [PDF]
Czechoslovak Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin, Qiyu, Deng, Guantie, Sun, Daochun
openaire +1 more source
Analytical D’Alembert Series Solution for Multi-Layered One-Dimensional Elastic Wave Propagation with the Use of General Dirichlet Series [PDF]
Civil Engineering Infrastructures Journal, 2018 A general initial-boundary value problem of one-dimensional transient wave propagation in a multi-layered elastic medium due to arbitrary boundary or interface excitations (either prescribed tractions or displacements) is considered.
Mohamad Emami, Morteza Eskandari-Ghadi
doaj +1 more source
Monomial convergence for holomorphic functions on $\ell\_r$ [PDF]
, 2016 Let $\mathcal F$ be either the set of all bounded holomorphic functions or the set of all $m$-homogeneous polynomials on the unit ball of $\ell\_r$. We give a systematic study of the sets of all $u\in\ell\_r$ for which the monomial expansion $\sum\_ ...
Bayart, Frédéric +2 more
core +4 more sources
A limit theorem in the space of meromorphic functions for general Dirichlet series
Lietuvos Matematikos Rinkinys, 2003 There is not abstract.
Jonas Genys
doaj +3 more sources
A generalization of Bohr's Equivalence Theorem [PDF]
, 2018 Based on a generalization of Bohr's equivalence relation for general Dirichlet series, in this paper we study the sets of values taken by certain classes of equivalent almost periodic functions in their strips of almost periodicity.
Sepulcre, J. M., Vidal, T.
core +3 more sources
Erdős-Macintyre type theorem’s for multiple Dirichlet series: exceptional sets and open problems
Математичні Студії, 2023 In the paper, we formulate some open problems related to the best description of the values of the exceptional sets in Wiman's inequality for entire functions and in the Erd\H{o}s-Macintyre type theorems for entire multiple Dirichlet series.
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj +1 more source
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms [PDF]
, 2017 We consider the identification of nonlinear diffusion coefficients of the form $a(t,u)$ or $a(u)$ in quasi-linear parabolic and elliptic equations. Uniqueness for this inverse problem is established under very general assumptions using partial knowledge ...
Egger, Herbert +2 more
core +3 more sources
Discrete limit theorem for general Dirichlet series in the space of meromorphic function
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Renata Macaitienė
doaj +3 more sources