Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators. (English) Zbl 07767821 Banach J. Math. Anal. 17, No. 4, Paper No. 84, 41 p. (2023). MSC: 47A60 47A10 47S05 PDFBibTeX XMLCite \textit{F. Colombo} et al., Banach J. Math. Anal. 17, No. 4, Paper No. 84, 41 p. (2023; Zbl 07767821) Full Text: DOI arXiv OA License
Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano; Sabadini, Irene The fine structure of the spectral theory on the \(S\)-spectrum in dimension five. (English) Zbl 07722184 J. Geom. Anal. 33, No. 9, Paper No. 300, 73 p. (2023). MSC: 47A10 47A60 30G35 42B35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Geom. Anal. 33, No. 9, Paper No. 300, 73 p. (2023; Zbl 07722184) Full Text: DOI arXiv
Colombo, Fabrizio; Kimsey, David P. A survey on the recent advances in the spectral theory on the S-spectrum. (English) Zbl 07691550 Alpay, Daniel (ed.) et al., Recent developments in operator theory, mathematical physics and complex analysis. Proceedings of the 32nd international workshop on operator theory and its applications, IWOTA 2021, Chapman University, Orange, CA, USA, August 9–13, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 290, 115-170 (2023). MSC: 47S05 47A10 PDFBibTeX XMLCite \textit{F. Colombo} and \textit{D. P. Kimsey}, Oper. Theory: Adv. Appl. 290, 115--170 (2023; Zbl 07691550) Full Text: DOI
Colombo, Fabrizio; De Martino, Antonino; Sabadini, Irene The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus. (English) Zbl 07649355 Complex Anal. Oper. Theory 17, No. 2, Paper No. 26, 42 p. (2023). MSC: 47A10 47A60 PDFBibTeX XMLCite \textit{F. Colombo} et al., Complex Anal. Oper. Theory 17, No. 2, Paper No. 26, 42 p. (2023; Zbl 07649355) Full Text: DOI arXiv
Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano; Sabadini, Irene Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum. (English) Zbl 07610105 J. Geom. Anal. 33, No. 1, Paper No. 2, 54 p. (2023). MSC: 47A10 47A60 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Geom. Anal. 33, No. 1, Paper No. 2, 54 p. (2023; Zbl 07610105) Full Text: DOI arXiv
Colombo, Fabrizio; De Martino, Antonino; Sabadini, Irene Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors. (English) Zbl 1518.30017 J. Math. Anal. Appl. 517, No. 2, Article ID 126652, 33 p. (2023). Reviewer: María Elena Luna Elizarrarás (Holon) MSC: 30G35 47B33 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Anal. Appl. 517, No. 2, Article ID 126652, 33 p. (2023; Zbl 1518.30017) Full Text: DOI
Baracco, Luca; Colombo, Fabrizio; Peloso, Marco M.; Pinton, Stefano Fractional powers of higher-order vector operators on bounded and unbounded domains. (English) Zbl 07653538 Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 912-937 (2022). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 47S05 47A10 47A60 35G15 26A33 PDFBibTeX XMLCite \textit{L. Baracco} et al., Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 912--937 (2022; Zbl 07653538) Full Text: DOI arXiv
Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.; Sabadini, Irene Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators. (English) Zbl 1512.47026 Adv. Math. 410, Part A, Article ID 108719, 39 p. (2022). MSC: 47A60 47A10 47S05 PDFBibTeX XMLCite \textit{F. Colombo} et al., Adv. Math. 410, Part A, Article ID 108719, 39 p. (2022; Zbl 1512.47026) Full Text: DOI arXiv
Colombo, Fabrizio; González, Denis Deniz; Pinton, Stefano The noncommutative fractional Fourier law in bounded and unbounded domains. (English) Zbl 07422101 Complex Anal. Oper. Theory 15, No. 7, Paper No. 114, 27 p. (2021). MSC: 47A10 47A60 PDFBibTeX XMLCite \textit{F. Colombo} et al., Complex Anal. Oper. Theory 15, No. 7, Paper No. 114, 27 p. (2021; Zbl 07422101) Full Text: DOI arXiv
Alpay, D.; Colombo, F.; Pinton, S.; Sabadini, I.; Struppa, D. C. Infinite-order differential operators acting on entire hyperholomorphic functions. (English) Zbl 1484.30050 J. Geom. Anal. 31, No. 10, 9768-9799 (2021). Reviewer: Pan Lian (Tianjin) MSC: 30G35 32A15 47B38 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Geom. Anal. 31, No. 10, 9768--9799 (2021; Zbl 1484.30050) Full Text: DOI arXiv
Colombo, Fabrizio; Gantner, Jonathan; Pinton, Stefano An introduction to hyperholomorphic spectral theories and fractional powers of vector operators. (English) Zbl 07384103 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 45, 37 p. (2021). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A10 47A60 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 45, 37 p. (2021; Zbl 07384103) Full Text: DOI arXiv