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pro vyhledávání: '"Boiti A"'
We characterize, using time-frequency analysis, the continuity and compactness of the Weyl operator in global classes of ultradifferentiable functions $\mathcal{S}_\omega$, for weight functions $\omega$ in the sense of Braun, Meise and Taylor. As a c
Externí odkaz:
http://arxiv.org/abs/2407.14990
Publikováno v:
Mediterr. J. Math. 21, art. no. 153, 2024
We study and characterize the inclusion relations of global classes in the general weight matrix framework in terms of growth relations for the defining weight matrices. We consider the Roumieu and Beurling cases, and as a particular case we also tre
Externí odkaz:
http://arxiv.org/abs/2401.11251
We give a simple construction of the log-convex minorant of a sequence $\{M_\alpha\}_{\alpha\in\mathbb{N}_0^d}$ and consequently extend to the $d$-dimensional case the well-known formula that relates a log-convex sequence $\{M_p\}_{p\in\mathbb{N}_0}$
Externí odkaz:
http://arxiv.org/abs/2401.11245
Autor:
Boiti, Chiara, Manfrin, Renato
We prove a second order identity for the Kirchhoff equation which yields, in particular, a simple and direct proof of Pokhozhaev's second order conservation law when the nonlinearity has the special form $(C_1 s +C_2)^{-2}$. As applications, we give:
Externí odkaz:
http://arxiv.org/abs/2304.11673
Given a function $f\in L^2(\mathbb R)$, we consider means and variances associated to $f$ and its Fourier transform $\hat{f}$, and explore their relations with the Wigner transform $W(f)$, obtaining a simple new proof of Shapiro's mean-dispersion pri
Externí odkaz:
http://arxiv.org/abs/2304.06965
Autor:
Boiti, Chiara1 (AUTHOR) chiara.boiti@unife.it, Franceschi, Jonathan2 (AUTHOR)
Publikováno v:
Arabian Journal of Mathematics. Apr2024, Vol. 13 Issue 1, p79-89. 11p.
Autor:
Chiara Boiti, Jonathan Franceschi
Publikováno v:
Arabian Journal of Mathematics, Vol 13, Iss 1, Pp 79-89 (2023)
Abstract The purpose of this article is to obtain appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. We thus look for a very general fractional Fourier transform with a phase funct
Externí odkaz:
https://doaj.org/article/62689f9835464f62aa2919447ba98a40
Publikováno v:
Banach J. of Math. Anal. 15, no. 1, art. no. 14, 2021
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending previous wor
Externí odkaz:
http://arxiv.org/abs/2004.08422
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