Georgiadis, Athanasios G.; Kyriazis, George; Petrushev, Pencho Product Besov and Triebel-Lizorkin spaces with application to nonlinear approximation. (English) Zbl 1460.42026 Constr. Approx. 53, No. 1, 39-83 (2021). MSC: 42B25 42B35 46F10 41A17 42C40 PDFBibTeX XMLCite \textit{A. G. Georgiadis} et al., Constr. Approx. 53, No. 1, 39--83 (2021; Zbl 1460.42026) Full Text: DOI
Ivanov, Kamen G.; Petrushev, Pencho Nonlinear \(n\)-term approximation of harmonic functions from shifts of the Newtonian kernel. (English) Zbl 1440.42108 Trans. Am. Math. Soc. 373, No. 5, 3117-3176 (2020). Reviewer: Salvatore Ivan Trapasso (Torino) MSC: 42B35 41A17 41A25 42C15 42C40 46E35 PDFBibTeX XMLCite \textit{K. G. Ivanov} and \textit{P. Petrushev}, Trans. Am. Math. Soc. 373, No. 5, 3117--3176 (2020; Zbl 1440.42108) Full Text: DOI arXiv
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P. Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. (English) Zbl 1432.46023 J. Fourier Anal. Appl. 25, No. 6, 3259-3309 (2019). Reviewer: Léonard Todjihounde (Abomey-Calavi) MSC: 46E36 46E35 43A85 42B25 42B15 42C15 42C40 PDFBibTeX XMLCite \textit{A. G. Georgiadis} et al., J. Fourier Anal. Appl. 25, No. 6, 3259--3309 (2019; Zbl 1432.46023) Full Text: DOI arXiv
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique Regularity of Gaussian processes on Dirichlet spaces. (English) Zbl 1390.58022 Constr. Approx. 47, No. 2, 277-320 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60G15 60G17 58J35 46E35 60G20 42C15 43A85 PDFBibTeX XMLCite \textit{G. Kerkyacharian} et al., Constr. Approx. 47, No. 2, 277--320 (2018; Zbl 1390.58022) Full Text: DOI arXiv
Kerkyacharian, Gerard; Petrushev, Pencho Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces. (English) Zbl 1321.58017 Trans. Am. Math. Soc. 367, No. 1, 121-189 (2015). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J35 46E35 42C15 43A85 PDFBibTeX XMLCite \textit{G. Kerkyacharian} and \textit{P. Petrushev}, Trans. Am. Math. Soc. 367, No. 1, 121--189 (2015; Zbl 1321.58017) Full Text: DOI arXiv
Kyriazis, G.; Petrushev, P. Rational bases for spaces of holomorphic functions in the disc. (English) Zbl 1301.46016 J. Lond. Math. Soc., II. Ser. 89, No. 2, 434-460 (2014). Reviewer: Hans Triebel (Jena) MSC: 46E35 42B35 41A20 42C40 30H25 PDFBibTeX XMLCite \textit{G. Kyriazis} and \textit{P. Petrushev}, J. Lond. Math. Soc., II. Ser. 89, No. 2, 434--460 (2014; Zbl 1301.46016) Full Text: DOI