Results 11 to 20 of about 230 (41)
Convolution on distribution spaces characterized by regularization
Mathematische Nachrichten, Volume 296, Issue 5, Page 1938-1963, May 2023., 2023 Abstract Locally convex convolutor spaces are studied which consist of those distributions that define a continuous convolution operator mapping from the space of test functions into a given locally convex lattice of measures. The convolutor spaces are endowed with the topology of uniform convergence on bounded sets.
Tillmann Kleiner, Rudolf Hilfer
wiley +1 more source
Distinguished Cp (X) spaces and the strongest locally convex topology [PDF]
, 2023 Since Tychonoff spaces X serve as continuous Hamel bases for the strong dual Lβ (X) of Cp (X), an old splitting theorem proves: Cp (X) is distinguished ⇔ Lβ (X) has the strongest locally convex topology (slctop) [Ferrando/Ka˛kol].
Ferrando, Juan Carlos, Saxon, Stephen
core +1 more source
Density conditions in Fréchet and (DF)-spaces [PDF]
, 1989 Sin ...
Bierstedt, K.D., Bonet, José
core +2 more sources
The Space of Countably Simple Bounded Functions with Values in a DF-Space [PDF]
, 1994 Sin ...
Díaz, S. +3 more
core +2 more sources
, 2010 This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al.
Napp, Diego +2 more
core +4 more sources
EXPONENTIAL GENERALIZED DISTRIBUTIONS [PDF]
, 2010 In this paper we generalize the Fourier transform from the space of tempered distributions to a bigger space called exponential generalized distributions.
Gordon, M., Loura, L.
core +1 more source
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
Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u ∈ 𝒟′(Ω) in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor.
C. Boiti +3 more
wiley +1 more source
Distinguished Preduals of Spaces of Holomorphic Functions [PDF]
, 1993 Sin ...
Boyd, Christopher
core +2 more sources
Buchwalter‐Schmets theorems and linear topologies
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 13-16, 1999., 1999 In this paper, we obtain Buchwalter‐Schmets theorems in the realm of Lefschetz linearly topologized spaces.
L. M. Sánchez Ruiz, J. R. Ferrer
wiley +1 more source