DJordje Vuvckovi'c

activity

20212026

collaborators

4 papers

math.AP2026

Continuity properties of the Laguerre operator and its propagator

Smiljana Jakšić, Nenad Teofanov, Đorđe Vučković

We study the well-posedness of a Cauchy problem associated with the general form of the Laguerre operator and relate it to the corresponding global problem for the harmonic oscilla…

math.FA2024

Ultradistributions on $R_{+}^{n}$ . Solvability and hypoellipticity through series expansions of ultradistributions

Stevan Pilipović, Đorđe Vučković

In the first part we analyze space $G^{*} (R_{+}^{n})$ and its dual through Laguerre expansions when these spaces correspond to a general sequence $\{M_p\}_{p\in\mathbb…

math.FA2024

On the iterates of the Laguerre operator

Smiljana Jakšić, Stevan Pilipović, Nenad Teofanov +1

We use the iterates of the Laguerre operator to introduce Pilipović spaces on positive orthants. It is shown that such spaces coincide with $G -$ type spaces $g_{α}^{α} (R_{+}^{d})$ …

math.FA2021

Convolution with the kernel $e^{s ⟨ x ⟩^{q}}, q \geq 1, s > 0$ within ultradistribution spaces

Stevan Pilipović, Bojan Prangoski, Đorđe Vučković

We consider the existence of convolution of Roumieu type ultradistribution with the kernel $e^{s (1 + ∣ x ∣^{2})^{q /2}}, q \geq 1$ , $s\in\RR\backslash\{0\}$.

Continuity properties of the Laguerre operator and its propagator

Ultradistributions on R+n​. Solvability and hypoellipticity through series expansions of ultradistributions

On the iterates of the Laguerre operator

Convolution with the kernel es⟨x⟩q,q≥1,s>0 within ultradistribution spaces

Ultradistributions on $R_{+}^{n}$ . Solvability and hypoellipticity through series expansions of ultradistributions

Convolution with the kernel $e^{s ⟨ x ⟩^{q}}, q \geq 1, s > 0$ within ultradistribution spaces