Results 61 to 70 of about 987 (103)

Convolution of Ultradistributions and Field Theory

International Journal of Theoretical Physics, 1999
21 pages ...
Bollini, C. G., Escobar, T., Rocca, M. C.   +2 more
openaire   +2 more sources

The kernel theorem for Cauchy ultradistribution

Journal of Mathematical Analysis and Applications, 2003
Because of the popularity currently gained by ultradistribution theory (after the heydays of Schwartz distribution theory) the authors have tried to extend the results concerning kernel theorems to ultradistributions. Some elementary results are proved under the heading ``The kernel theorem''.
Banerji, P.K., Debnath, Lokenath, Bhandari, Deshna   +2 more
openaire   +1 more source

Bosonic String and String Field Theory: a solution using Ultradistributions of Exponential Type

, 2007
In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way string and string field theories.
A.L. Paoli De, B. Zwiebach, C. G. Bollini, C.G. Bollini, C.G. Bollini, C.G. Bollini, C.G. Bollini, C.G. Bollini, D.G. Barci, I.M. Gel’fand, J. Sebastiao e Silva, M. C. Rocca, M. Hasumi, R.F. Hoskins   +13 more
core   +1 more source

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces [PDF]

, 2018
We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to the associated functions for general sequences $\{ M_p\} $ which satisfy Komatsu's conditions $(M.1) - (M.3)'$. In particular, when $\{
Teofanov, Nenad
core   +1 more source

Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions

Journal of Pseudo-Differential Operators and Applications
In the first part we analyze space $\mathcal G^*(\mathbb R^{n}_+)$ and its dual through Laguerre expansions when these spaces correspond to a general sequence $\{M_p\}_{p\in\mathbb N_0}$, where $^*$ is a common notation for the Beurling and Roumieu cases of spaces.
Pilipović, Stevan, Vučković, Đorđe
openaire   +3 more sources

Representation of quasianalytic ultradistributions

Arkiv för Matematik, 1993
The authors deal with a representation theorem for a class of quasianalytic ultradistributions; they show that every ultradistribution in this class can be written as \(u= P(\Delta) g(x)+ h(x)\), where \(g(x)\) is a bounded continuous function, \(h(x)\) is a bounded real analytic function and \(P(d/dt)\) is an ultradifferential operator.
Chung, Soon-Yeong, Kim, Dohan
openaire   +3 more sources

Localization of Fréchet Frames and Expansion of Generalized Functions. [PDF]

Bull Malays Math Sci Soc, 2021
Pilipović S, Stoeva DT.
europepmc   +1 more source

Localization and Toeplitz Operators on Polyanalytic Fock Spaces [PDF]

, 2011
The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann Transform and Windowed Fourier Transform}, Integr. equ.
Faustino, Nelson
core  

Moment sequences for ultradistributions

Mathematische Zeitschrift, 1990
We present a necessary and sufficient condition for a sequence to be the moment sequence of an ultradistribution with compact support. This result extends Estrada and Kanwal's criterion for moment sequences of distributions and permits to handle a much larger class of dual Taylor expansions. Applications is made to a class of A-scalar operators (in the
openaire   +2 more sources

Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle

Karpatsʹkì Matematičnì Publìkacìï, 2009
The representation of convolution Gevrey algebra ofultradistributions as commutant of the n-parametric stronglycontinuous semigroup of shifts in algebra of linear and continuousmappings over the space of ultradifferentiable Gevrey functionswith supports ...
A. V. Solomko
doaj