DJordje Vuvckovi'c

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20212026

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Showing 2024 · math.FAShow all

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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 $g_{α}^{α} (R_{+}^{d})$ …

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

On the iterates of the Laguerre operator

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