Results 11 to 20 of about 5,410,784 (226)
Composition operators on the Schwartz space [PDF]
Revista Matemática Iberoamericana, 2018 We study composition operators on the Schwartz space of rapidly decreasing functions. We prove that such a composition operator is never a compact operator and we obtain necessary or sufficient conditions for the range of the composition operator to be closed.
GALBIS VERDU, ANTONIO +1 more
core +8 more sources
Dynamics and spectra of composition operators on the Schwartz space [PDF]
Journal of Functional Analysis, 2018 [EN] In this paper we study the dynamics of the composition operators defined in the Schwartz space of rapidly decreasing functions. We prove that such an operator is never supercyclic and, for monotonic symbols, it is power bounded only in trivial ...
FERNÁNDEZ ROSELL, CARMEN +5 more
core +3 more sources
A simple example of a universal Schwartz space [PDF]
, 1973 A Schwartz space E is universal if every Schwartz space is topologically isomorphic to a linear subspace of some power E I {E^I} of E.
Daniel J. Randtke
core +2 more sources
Fourier analysis on the Heisenberg group. I. Schwartz space [PDF]
, 1980 We derive a usable characterization of the group FT (Fourier Transform) of Schwartz space on the Heisenberg group Hn, in terms of certain asymptotic series.
Geller, Daryl
core +2 more sources
An example of a quasinormable Fréchet function space which is not a Schwartz space [PDF]
, 1981 Proceedings of the Seminar held at the Universidade Federal do Rio de Janeiro, Rio de Janeiro, August 7–11, 1978If E and F are complex Banach spaces, and fixing a balanced open subset U of E, we let Hb=(Hb(U;F),τb) denote the space of all mappings f:U→F ...
Ponte Miramontes, María Del Socorro +1 more
core +2 more sources
Basic Sequences in Non-Schwartz-Frechet Spaces [PDF]
Transactions of the American Mathematical Society, 1980 Obliquely normalized basic sequences are defined and used to characterize non-Schwartz-Fréchet spaces. It follows that each non-Schwartz-Fréchet space E has a non-Schwartz subspace with a basis and a quotient which is not Montel (which has a normalized basis if E
Steven F. Bellenot
openaire +4 more sources
Characterization for Beurling-Björck space and Schwartz space [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: We give an elementary proof of the equivalence of the original definition of Schwartz and our characterization for the Schwartz space \(\mathcal{S}\). The new proof is based on the Landau inequality concerning the estimates of derivatives. Applying the same method, as an application, we give a better symmetric characterization of the Beurling ...
Chung, Soon-Yeong +2 more
openaire +2 more sources
Introduction to the Schwartz Space of T\G [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1989 Let G be the group of R-rational points on a reductive group defined over Q and T an arithmetic subgroup. The aim of this paper is to describe in some detail the Schwartz space (whose definition I recall in Section 1) and in particular to explain a ...
W. Casselman
core +2 more sources
A Fréchet-Schwartz space with basis having a complemented subspace without basis [PDF]
, 1991 Using a method introduced by Pelczyński we show that for a nuclear Fréchet space E E without basis we can find a Fréchet-Schwartz space F F with basis containing a complemented, isomorphic copy of E E .
Jari Taskinen
core +2 more sources
The Fourier transform in Schwartz space [PDF]
Selecciones Matemáticas, 2021 The objective of this work is to study some properties and applications of the Schwartz space. Initially, the Fourier transform is used to demonstrate the transform of the derivative and derivative of the transform. Then the completeness of the Schwartz space is studied and some properties are demonstrated.
Carlos Alberto Peña Miranda +1 more
openaire +5 more sources