Smiljana Jakšić

collaborators

3 papers

math.FA2024

Ultradifferentiable functions via the Laguerre operator

Smiljana Jakšić, Stevan Pilipović, Nenad Teofanov +1

We define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is ba…

math.FA2016

$G$ -type Spaces of Ultradistributions over $R_{+}^{d}$ and the Weyl Pseudo-differential Operators with Radial Symbols

Smiljana Jaksić, Stevan Pilipović, Bojan Prangoski

The first part of the paper is devoted to the $G$ -type spaces i.e. the spaces $G_{α}^{α} (R_{+}^{d})$ , $α \geq 1$ and their duals which can be described as analogous to the Gelfand-S…

math.FA2016

Extension theorem of Whitney type for $S (R_{+}^{d})$ by the use of the Kernel Theorem

Smiljana Jaksić, Bojan Prangoski

We study the expansions of the elements in $S (R_{+}^{d})$ and $S^{'} (R_{+}^{d})$ with respect to the Laguerre orthonormal basis, extending the result of M…

Ultradifferentiable functions via the Laguerre operator

G-type Spaces of Ultradistributions over R+d​ and the Weyl Pseudo-differential Operators with Radial Symbols

Extension theorem of Whitney type for S(R+d​) by the use of the Kernel Theorem

$G$ -type Spaces of Ultradistributions over $R_{+}^{d}$ and the Weyl Pseudo-differential Operators with Radial Symbols

Extension theorem of Whitney type for $S (R_{+}^{d})$ by the use of the Kernel Theorem