On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017 39 ...
Andreas Debrouwere, Jasson Vindas
openaire +7 more sources
A non-linear theory of infrahyperfunctions [PDF]
, 2019 We develop a nonlinear theory for infrahyperfunctions (also referred to as quasianalytic (ultra)distributions by L. H\"{o}rmander). In the hyperfunction case our work can be summarized as follows.
Debrouwere, Andreas +2 more
core +2 more sources
Rotation invariant ultradistributions [PDF]
, 2017 We prove that an ultradistribution is rotation invariant if and only if it coincides with its spherical mean. For it, we study the problem of spherical representations of ultradistributions on $\mathbb{R}^{n}$. Our results apply to both the quasianalytic
Vindas Diaz, Jasson, Vuckovic, Dorde
core +2 more sources
Solution to the first Cousin problem for vector-valued quasianalytic functions [PDF]
, 2017 We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.Comment: 23 ...
Debrouwere, Andreas, Vindas, Jasson
core +3 more sources
The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics [PDF]
, 2016 We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces.
Kostadinova, Sanja +3 more
core +3 more sources
Asymptotic Hyperfunctions, Tempered Hyperfunctions, and Asymptotic Expansions [PDF]
, 2004 We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these 'asymptotic' and
Schmidt, Andreas U.
core +8 more sources
Axiomatic formulations of nonlocal and noncommutative field theories [PDF]
, 2006 We analyze functional analytic aspects of axiomatic formulations of nonlocal and noncommutative quantum field theories. In particular, we completely clarify the relation between the asymptotic commutativity condition, which ensures the CPT symmetry and ...
A. G. Smirnov +18 more
core +2 more sources
Beyond the Shannon-Khinchin Formulation: The Composability Axiom and the Universal Group Entropy [PDF]
, 2015 The notion of entropy is ubiquitous both in natural and social sciences. In the last two decades, a considerable effort has been devoted to the study of new entropic forms, which generalize the standard Boltzmann-Gibbs (BG) entropy and are widely ...
Tempesta, Piergiulio
core +4 more sources
On Borel summability and analytic functionals [PDF]
, 2013 We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin.
Estrada, Ricardo, Vindas Diaz, Jasson
core +3 more sources
Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals
Theoretical and Mathematical Physics, 2001 We generalize the theory of Lorentz-covariant distributions to broader classes of functionals including ultradistributions, hyperfunctions, and analytic functionals with a tempered growth. We prove that Lorentz-covariant functionals with essential singularities can be decomposed into polynomial covariants and establish the possibility of the invariant ...
openaire +2 more sources