Zobrazeno 1 - 10
of 37
pro vyhledávání: '"42C10 (Primary)"'
Autor:
Bubba, Tatiana A., Easley, Glenn, Heikkilä, Tommi, Labate, Demetrio, Ayllon, Jose P. Rodriguez
Publikováno v:
Journal of Computational and Applied Mathematics 429 (2023) 115206
Efficient representations of multivariate functions are critical for the design of state-of-the-art methods of data restoration and image reconstruction. In this work, we consider the representation of spatio-temporal data such as temporal sequences
Externí odkaz:
http://arxiv.org/abs/2110.03221
To numerically approximate Borel probability measures by finite atomic measures, we study the spectral decomposition of discrepancy kernels when restricted to compact subsets of $\mathbb{R}^d$. For restrictions to the Euclidean ball in odd dimensions
Externí odkaz:
http://arxiv.org/abs/1909.12334
The research about Harmonic Analysis associated with Jacobi expansions carried out in \cite{ACL-JacI} and \cite{ACL-JacII} is continued in this paper. Given the operator $\mathcal{J}^{(\alpha,\beta)}=J^{(\alpha,\beta)}-I$, where $J^{(\alpha,\beta)}$
Externí odkaz:
http://arxiv.org/abs/1906.07999
The discrete counterpart of the problem related to the convergence of the Fourier-Jacobi series is studied. To this end, given a sequence, we construct the analogue of the partial sum operator related to Jacobi polynomials and characterize its conver
Externí odkaz:
http://arxiv.org/abs/1906.08004
We present a transplantation theorem for Jacobi coefficients in weighted spaces. In fact, by using a discrete vector-valued local Calder\'{o}n-Zygmund theory, which has recently been furnished, we prove the boundedness of transplantation operators fr
Externí odkaz:
http://arxiv.org/abs/1812.08422
In this paper we commence the study of discrete harmonic analysis associated with Jacobi orthogonal polynomials of order $(\alpha,\beta)$. Particularly, we give the solution $W^{(\alpha,\beta)}_t$, $t\ge 0$, and some properties of the heat equation r
Externí odkaz:
http://arxiv.org/abs/1806.00056
We obtain sufficient conditions for convergence (almost everywhere) of multiple trigonometric Fourier series of functions $f$ in $L_2$ in terms of Weyl multipliers. We consider the case where rectangular partial sums of Fourier series $S_n(x;f)$ have
Externí odkaz:
http://arxiv.org/abs/1704.04673
Publikováno v:
Adv. Math. 318 (2017), 307-354
Classical settings of discrete and continuous orthogonal expansions, like Laguerre, Bessel and Jacobi, are associated with second order differential operators playing the role of the Laplacian. These depend on certain parameters of type that are usua
Externí odkaz:
http://arxiv.org/abs/1607.00979
Autor:
Langowski, Bartosz
This is an ultimate completion of our earlier paper [Acta.\ Math.\ Hungar.\ 140 (2013), 248--292] where mapping properties of several fundamental harmonic analysis operators in the setting of symmetrized Jacobi trigonometric expansions were investiga
Externí odkaz:
http://arxiv.org/abs/1512.08948
Autor:
Langowski, Bartosz
Publikováno v:
SIGMA 11 (2015), 073, 17 pages
We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev spaces. Among further resul
Externí odkaz:
http://arxiv.org/abs/1505.01653