Results 51 to 60 of about 370 (125)

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

Geometry of Function Spaces

, 2013
Journal of Function Spaces, Volume 2013, Issue 1, 2013.
T. S. S. R. K. Rao, Henryk Hudzik, Miguel Martin   +2 more
wiley   +1 more source

Quasianalytic functionals and ultradistributions as boundary values of harmonic functions [PDF]

, 2023
We study boundary values of harmonic functions in spaces of quasianalytic functionals and spaces of ultradistributions of non-quasianalytic type. As an application, we provide a new approach to H\"ormander's support theorem for quasianalytic functionals.
Vindas Diaz, Jasson, Debrouwere, Andreas, Vindas, Jasson   +2 more
core   +2 more sources

Eigenfunction expansions of ultradifferentiable functions and ultradistributions [PDF]

In this paper we give a global characterisation of classes of ultradi_erentiable functions and corresponding ultradistributions on a compact manifold X.
Dasgupta, Aparajita, Ruzhansky, Michael
core   +1 more source

Polynomial ultradistributions on R+d [PDF]

, 2009
Let G+′=G′(R+d) stand for Roumieu ultradistributions with supports in the positive cone R+d. Throughout P(G+′) denotes the algebra of continuous scalar polynomials on the space G+′. We investigate the dual pair 〈P′(G+′)∣P(G+′)〉 generated by the algebra P(
Lopushansky, Oleh, Sharyn, Sergii
core   +1 more source

Convolution of Lorentz Invariant Ultradistributions and Field Theory [PDF]

, 2022
In this work, a general definition of convolution between two arbitrary four dimensional Lorentz invariant (fdLi) Tempered Ultradistributions is given, in both: Minkowskian and Euclidean Space (Spherically symmetric tempered ultradistributions).
Rocca, Mario Carlos, Bollini, Carlos Guido   +1 more
core  

The Paley-Wiener Theorems for Gevrey Functions and Ultradistributions [PDF]

, 2018
In this thesis we study the spaces of Gevrey functions and ultradistributions, focusing primarily on the properties reflected on their Fourier-Laplace transforms.
Sobak, Marko
core  

The fractionary Schrödinger equation, Green functions and ultradistributions [PDF]

, 2020
In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given.
De Paoli, Ángel Luis, Rocca, Mario Carlos   +1 more
core   +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  

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

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