Results 21 to 30 of about 1,721 (163)
On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
Abstract and Applied Analysis, 2013 We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.
Jaeyoung Chung, Jeongwook Chang
doaj +1 more source
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 Lazard formal group, universal congruences and special values of zeta functions [PDF]
, 2015 A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard
Tempesta, Piergiulio
core +4 more sources
On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution [PDF]
, 2017 We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties ...
Pilipovic, Stevan +2 more
core +2 more sources
Scalar models of formally interacting non-standard quantum fields in Minkowski space-time
, 2019 For decades, a lot of work has been devoted to the problem of constructing a non-trivial quantum field theory in four-dimensional space time. This letter addresses the attempts to construct an algebraic quantum field theory in the framework of non ...
Aste, Andreas
core +1 more source
, 2002 In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine +3 more
core +1 more source
Regularization of Hyperfunctions
Zeitschrift für Analysis und ihre Anwendungen, 2006 We show that there are no continuous regularization procedures for the extension of hyperfunctions. We also show that there is a continuous projection operator from the space of hyperfunctions with support in a given compact set onto the subspace of hyperfunctions with support on a given \textsl{closed} subset if and only if the subset is a countable ...
openaire +2 more sources
Therapeutic Gases in Biomedicine: Updates on Nitric Oxide and Beyond
Advanced Science, EarlyView.Therapeutic gases, including NO, CO, H2S, H2, CO2, O2, and Xe, play vital roles in cellular signaling and repair. This review highlights the emerging carriers and delivery systems that enable controlled, localized gas release for diagnostic and therapeutic applications.
Syed Muntazir Andrabi +4 more
wiley +1 more source
Stability of Cubic Functional Equation in the Spaces of Generalized Functions
Journal of Inequalities and Applications, 2007 In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functional equation f(ax+y)+f(ax−y)=af(x+y)+af(x−y)+2a(a2−1)f(x) for fixed integer a with a≠0,±1 in the spaces of Schwartz tempered
Soon-Yeong Chung, Young-Su Lee
doaj +1 more source
Management of post‐implant fibrous dysplasia in the maxilla: A case study
Clinical Advances in Periodontics, EarlyView.Abstract Background Fibrous dysplasia is generally rare, and even rarer in older adults. Special care is needed when altering the alveolar bone in these cases, especially if an implant is involved. This case study highlights such a scenario. Methods This case study details the experience of a 63‐year‐old African American female who presented with a ...
Yousef Taha Y. Amrou +4 more
wiley +1 more source