Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. Analyticity, superoscillations and supershifts in several variables. arXiv:2403.06169 Preprint, arXiv:2403.06169 [math.CV] (2024). BibTeX Cite \textit{F. Colombo} et al., ``Analyticity, superoscillations and supershifts in several variables'', Preprint, arXiv:2403.06169 [math.CV] (2024) Full Text: arXiv OA License
Cerejeiras, Paula; Colombo, Fabrizio; Käehler, Uwe; Sabadini, Irene Quaternionic triangular linear operators. (English) Zbl 07781292 Math. Methods Appl. Sci. 46, No. 2, 2093-2116 (2023). MSC: 47S05 47B28 47A10 47A60 PDFBibTeX XMLCite \textit{P. Cerejeiras} et al., Math. Methods Appl. Sci. 46, No. 2, 2093--2116 (2023; Zbl 07781292) Full Text: DOI
Colombo, F.; Pinton, S.; Sabadini, I.; Struppa, D. C. The general theory of superoscillations and supershifts in several variables. (English) Zbl 1527.26008 J. Fourier Anal. Appl. 29, No. 6, Paper No. 66, 24 p. (2023). MSC: 26B35 26A09 41A60 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Fourier Anal. Appl. 29, No. 6, Paper No. 66, 24 p. (2023; Zbl 1527.26008) Full Text: DOI arXiv OA License
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Struppa, Daniele C. Superoscillations and Fock spaces. (English) Zbl 1521.30063 J. Math. Phys. 64, No. 9, Article ID 093505, 20 p. (2023). MSC: 30H20 30G35 44A15 81R30 42C40 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 64, No. 9, Article ID 093505, 20 p. (2023; Zbl 1521.30063) Full Text: DOI arXiv
Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y. On the generating functions and special functions associated with superoscillations. (English) Zbl 07737621 Discrete Appl. Math. 340, 215-227 (2023). MSC: 81Q15 33C15 35B34 08A40 81P15 28B05 PDFBibTeX XMLCite \textit{F. Colombo} et al., Discrete Appl. Math. 340, 215--227 (2023; Zbl 07737621) Full Text: DOI arXiv
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
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Struppa, Daniele C. Hörmander’s \(L^2\)-method, \(\overline{\partial}\)-problem and polyanalytic function theory in one complex variable. (English) Zbl 1515.30106 Complex Anal. Oper. Theory 17, No. 3, Paper No. 41, 25 p. (2023). MSC: 30G20 32W05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Complex Anal. Oper. Theory 17, No. 3, Paper No. 41, 25 p. (2023; Zbl 1515.30106) Full Text: DOI arXiv
Colombo, Fabrizio; Pozzi, Elodie; Sabadini, Irene; Wick, Brett D. Evolution of superoscillations for spinning particles. (English) Zbl 1512.35017 Proc. Am. Math. Soc., Ser. B 10, 129-143 (2023). MSC: 35A20 35A08 35Q41 PDFBibTeX XMLCite \textit{F. Colombo} et al., Proc. Am. Math. Soc., Ser. B 10, 129--143 (2023; Zbl 1512.35017) Full Text: DOI
Alpay, Daniel (ed.); Behrndt, Jussi (ed.); Colombo, Fabrizio (ed.); Sabadini, Irene (ed.); Struppa, Daniele C. (ed.) 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. (English) Zbl 1517.47001 Operator Theory: Advances and Applications 290. Cham: Springer (ISBN 978-3-031-21459-2/hbk; 978-3-031-21462-2/pbk; 978-3-031-21460-8/ebook). viii, 420 p. (2023). MSC: 47-06 47N50 00B25 PDFBibTeX XMLCite \textit{D. Alpay} (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 (2023; Zbl 1517.47001) 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
Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. Analyticity and supershift with irregular sampling. arXiv:2312.05089 Preprint, arXiv:2312.05089 [math.CV] (2023). BibTeX Cite \textit{F. Colombo} et al., ``Analyticity and supershift with irregular sampling'', Preprint, arXiv:2312.05089 [math.CV] (2023) Full Text: arXiv OA License
Colombo, Fabrizio; Krausshar, Rolf Soeren; Sabadini, Irene Octonionic monogenic and slice monogenic Hardy and Bergman spaces. arXiv:2311.07691 Preprint, arXiv:2311.07691 [math.CV] (2023). MSC: 30G35 17D05 BibTeX Cite \textit{F. Colombo} et al., ``Octonionic monogenic and slice monogenic Hardy and Bergman spaces'', Preprint, arXiv:2311.07691 [math.CV] (2023) Full Text: arXiv OA License
Colombo, F.; Krausshar, R. S.; Pinton, S.; Sabadini, I. Entire monogenic functions of given proximate order and continuous homomorphisms. arXiv:2311.02381 Preprint, arXiv:2311.02381 [math.FA] (2023). BibTeX Cite \textit{F. Colombo} et al., ``Entire monogenic functions of given proximate order and continuous homomorphisms'', Preprint, arXiv:2311.02381 [math.FA] (2023) Full Text: arXiv OA License
Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. Analyticity and supershift with regular sampling. arXiv:2310.11528 Preprint, arXiv:2310.11528 [math.CV] (2023). BibTeX Cite \textit{F. Colombo} et al., ``Analyticity and supershift with regular sampling'', Preprint, arXiv:2310.11528 [math.CV] (2023) Full Text: arXiv OA License
Cerejeiras, Paula; Colombo, Fabrizio; Pinos, Alberto Debernardi; Kähler, Uwe; Sabadini, Irene Nuclearity and Grothendieck-Lidskii formula for quaternionic operators. arXiv:2306.14189 Preprint, arXiv:2306.14189 [math.CA] (2023). MSC: 46S05 47S05 47B10 BibTeX Cite \textit{P. Cerejeiras} et al., ``Nuclearity and Grothendieck-Lidskii formula for quaternionic operators'', Preprint, arXiv:2306.14189 [math.CA] (2023) Full Text: arXiv OA License
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene Poly slice monogenic functions, Cauchy formulas and the \(PS\)-functional calculus. (English) Zbl 07734185 J. Oper. Theory 88, No. 2, 309-364 (2022). MSC: 30G30 47A10 47A60 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Oper. Theory 88, No. 2, 309--364 (2022; Zbl 07734185) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene An approach to the Gaussian RBF kernels via Fock spaces. (English) Zbl 1508.30099 J. Math. Phys. 63, No. 11, Article ID 113506, 19 p. (2022). MSC: 30H20 68T05 30G35 68T10 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 63, No. 11, Article ID 113506, 19 p. (2022; Zbl 1508.30099) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. (English) Zbl 1503.30104 Integral Equations Oper. Theory 94, No. 4, Paper No. 35, 43 p. (2022). MSC: 30G20 30H20 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 94, No. 4, Paper No. 35, 43 p. (2022; Zbl 1503.30104) 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
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Volok, Dan Discrete analytic functions, structured matrices and a new family of moment problems. (English) Zbl 1502.30136 Bull. Sci. Math. 179, Article ID 103175, 70 p. (2022). MSC: 30G25 46E22 47B32 PDFBibTeX XMLCite \textit{D. Alpay} et al., Bull. Sci. Math. 179, Article ID 103175, 70 p. (2022; Zbl 1502.30136) Full Text: DOI arXiv
Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. Superoscillating sequences and supershifts for families of generalized functions. (English) Zbl 1485.42004 Complex Anal. Oper. Theory 16, No. 3, Paper No. 34, 37 p. (2022). MSC: 42A16 30D15 46F15 35J10 PDFBibTeX XMLCite \textit{F. Colombo} et al., Complex Anal. Oper. Theory 16, No. 3, Paper No. 34, 37 p. (2022; Zbl 1485.42004) Full Text: DOI arXiv
Colombo, Fabrizio; De Martino, Antonino; Qian, Tao; Sabadini, Irene The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels. (English) Zbl 1486.30133 J. Math. Anal. Appl. 512, No. 1, Article ID 126115, 23 p. (2022). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Anal. Appl. 512, No. 1, Article ID 126115, 23 p. (2022; Zbl 1486.30133) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene; Schneider, Baruch Beurling-Lax type theorems and Cuntz relations. (English) Zbl 07432147 Linear Algebra Appl. 633, 152-212 (2022). MSC: 47B32 30C10 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 633, 152--212 (2022; Zbl 07432147) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Struppa, Daniele C. A Hörmander-Fock space. arXiv:2210.08683 Preprint, arXiv:2210.08683 [math.CV] (2022). BibTeX Cite \textit{D. Alpay} et al., ``A H\"ormander-Fock space'', Preprint, arXiv:2210.08683 [math.CV] (2022) Full Text: arXiv OA License
Jordan, Andrew N.; Aharonov, Yakir; Struppa, Daniele C.; Colombo, Fabrizio; Sabadini, Irene; Shushi, Tomer; Tollaksen, Jeff; Howell, John C.; Vamivakas, A. Nick Super-phenomena in arbitrary quantum observables. arXiv:2209.05650 Preprint, arXiv:2209.05650 [quant-ph] (2022). BibTeX Cite \textit{A. N. Jordan} et al., ``Super-phenomena in arbitrary quantum observables'', Preprint, arXiv:2209.05650 [quant-ph] (2022) Full Text: arXiv OA License
Colombo, Fabrizio; Kimsey, David P.; Pinton, Stefano; Sabadini, Irene Slice monogenic functions of a Clifford variable via the \(S\)-functional calculus. (English) Zbl 1493.47014 Proc. Am. Math. Soc., Ser. B 8, 281-296 (2021). MSC: 47A60 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Proc. Am. Math. Soc., Ser. B 8, 281--296 (2021; Zbl 1493.47014) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Pinton, Stefano; Sabadini, Irene Holomorphic functions, relativistic sum, Blaschke products and superoscillations. (English) Zbl 07417889 Anal. Math. Phys. 11, No. 3, Paper No. 139, 28 p. (2021). MSC: 81Qxx 42Axx 32Axx PDFBibTeX XMLCite \textit{D. Alpay} et al., Anal. Math. Phys. 11, No. 3, Paper No. 139, 28 p. (2021; Zbl 07417889) Full Text: DOI
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
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. (English) Zbl 1475.30111 Integral Equations Oper. Theory 93, No. 4, Paper No. 38, 63 p. (2021). MSC: 30G35 47B32 47S05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 93, No. 4, Paper No. 38, 63 p. (2021; Zbl 1475.30111) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Superoscillations and analytic extension in Schur analysis. (English) Zbl 1462.30050 J. Fourier Anal. Appl. 27, No. 2, Paper No. 28, 19 p. (2021). MSC: 30D15 42A82 42A10 60G10 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Fourier Anal. Appl. 27, No. 2, Paper No. 28, 19 p. (2021; Zbl 1462.30050) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain Gauss sums, superoscillations and the Talbot carpet. (English. French summary) Zbl 1460.35092 J. Math. Pures Appl. (9) 147, 163-178 (2021). MSC: 35J10 32A15 47B38 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Pures Appl. (9) 147, 163--178 (2021; Zbl 1460.35092) Full Text: DOI arXiv
Aharonov, Y.; Colombo, F.; Sabadini, I.; Shushi, T.; Struppa, D. C.; Tollaksen, J. A new method to generate superoscillating functions and supershifts. arXiv:2101.06416 Preprint, arXiv:2101.06416 [math-ph] (2021). BibTeX Cite \textit{Y. Aharonov} et al., ``A new method to generate superoscillating functions and supershifts'', Preprint, arXiv:2101.06416 [math-ph] (2021) Full Text: DOI arXiv OA License
Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene Symmetries of slice monogenic functions. (English) Zbl 1468.30083 J. Noncommut. Geom. 14, No. 3, 1075-1106 (2020). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Noncommut. Geom. 14, No. 3, 1075--1106 (2020; Zbl 1468.30083) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. [Sce, Michele] Michele Sce’s works in hypercomplex analysis. A translation with commentaries. (English) Zbl 1448.30001 Cham: Birkhäuser (ISBN 978-3-030-50215-7/hbk; 978-3-030-50218-8/pbk; 978-3-030-50216-4/ebook). vi, 122 p. (2020). MSC: 30-03 30G35 01A75 PDFBibTeX XMLCite \textit{F. Colombo} et al., Michele Sce's works in hypercomplex analysis. A translation with commentaries. Cham: Birkhäuser (2020; Zbl 1448.30001) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene On pseudo-spectral factorization over the complex numbers and quaternions. (English) Zbl 1461.30111 Linear Algebra Appl. 606, 90-126 (2020). Reviewer: Eckhard Hitzer (Tokyo) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 606, 90--126 (2020; Zbl 1461.30111) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case. (English) Zbl 1462.47010 Indag. Math., New Ser. 31, No. 4, 607-628 (2020). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A56 30G35 47S05 47B50 PDFBibTeX XMLCite \textit{D. Alpay} et al., Indag. Math., New Ser. 31, No. 4, 607--628 (2020; Zbl 1462.47010) Full Text: DOI arXiv
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. Evolution of superoscillations in the Klein-Gordon field. (English) Zbl 1442.81023 Milan J. Math. 88, No. 1, 171-189 (2020). MSC: 81Q05 81R20 42A85 47B38 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., Milan J. Math. 88, No. 1, 171--189 (2020; Zbl 1442.81023) Full Text: DOI
Aharonov, Y.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C.; Tollaksen, J. How superoscillating tunneling waves can overcome the step potential. (English) Zbl 1433.35322 Ann. Phys. 414, Article ID 168088, 19 p. (2020). MSC: 35Q41 35C07 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., Ann. Phys. 414, Article ID 168088, 19 p. (2020; Zbl 1433.35322) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Quaternionic de Branges spaces and characteristic operator function. (English) Zbl 1475.47001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-38311-4/pbk; 978-3-030-38312-1/ebook). x, 116 p. (2020). Reviewer: G. Ramesh (Sangareddy) MSC: 47-02 47S05 47A48 46E22 30G35 46C20 PDFBibTeX XMLCite \textit{D. Alpay} et al., Quaternionic de Branges spaces and characteristic operator function. Cham: Springer (2020; Zbl 1475.47001) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene The Fock space as a de Branges-Rovnyak space. (English) Zbl 1443.46017 Integral Equations Oper. Theory 91, No. 6, Paper No. 51, 12 p. (2019). MSC: 46E22 47A57 30H45 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 91, No. 6, Paper No. 51, 12 p. (2019; Zbl 1443.46017) Full Text: DOI arXiv
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Yger, Alain Superoscillating sequences and hyperfunctions. (English) Zbl 1439.32017 Publ. Res. Inst. Math. Sci. 55, No. 4, 665-688 (2019). MSC: 32A45 PDFBibTeX XMLCite \textit{F. Colombo} et al., Publ. Res. Inst. Math. Sci. 55, No. 4, 665--688 (2019; Zbl 1439.32017) Full Text: DOI
Cerejeiras, Paula; Colombo, Fabrizio; Kähler, Uwe; Sabadini, Irene Perturbation of normal quaternionic operators. (English) Zbl 07089861 Trans. Am. Math. Soc. 372, No. 5, 3257-3281 (2019). MSC: 47A10 47A60 PDFBibTeX XMLCite \textit{P. Cerejeiras} et al., Trans. Am. Math. Soc. 372, No. 5, 3257--3281 (2019; Zbl 07089861) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene Positive and generalized positive real lemma for slice hyperholomorphic functions. (English) Zbl 1417.30042 Integral Equations Oper. Theory 91, No. 1, Paper No. 4, 22 p. (2019). MSC: 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 91, No. 1, Paper No. 4, 22 p. (2019; Zbl 1417.30042) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Herglotz functions: the Fueter variables case. (English) Zbl 07006570 Linear Algebra Appl. 563, 75-97 (2019). MSC: 47B32 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 563, 75--97 (2019; Zbl 07006570) Full Text: DOI
Aoki, T.; Colombo, F.; Sabadini, I.; Struppa, D. C. Continuity theorems for a class of convolution operators and applications to superoscillations. (English) Zbl 1411.35091 Ann. Mat. Pura Appl. (4) 197, No. 5, 1533-1545 (2018). Reviewer: Konstantin Malyutin (Sumy) MSC: 35J10 PDFBibTeX XMLCite \textit{T. Aoki} et al., Ann. Mat. Pura Appl. (4) 197, No. 5, 1533--1545 (2018; Zbl 1411.35091) Full Text: DOI
Aoki, T.; Colombo, Fabrizio; Sabadini, Irene; Struppa, D. C. Continuity of some operators arising in the theory of superoscillations. (English) Zbl 1402.81167 Quantum Stud. Math. Found. 5, No. 3, 463-476 (2018). MSC: 81Q70 PDFBibTeX XMLCite \textit{T. Aoki} et al., Quantum Stud. Math. Found. 5, No. 3, 463--476 (2018; Zbl 1402.81167) Full Text: DOI
Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene Herglotz functions of several quaternionic variables. (English) Zbl 1393.30037 J. Math. Anal. Appl. 466, No. 1, 169-182 (2018). MSC: 30G35 PDFBibTeX XMLCite \textit{K. Abu-Ghanem} et al., J. Math. Anal. Appl. 466, No. 1, 169--182 (2018; Zbl 1393.30037) Full Text: DOI Link
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene Adaptative decomposition: the case of the Drury-Arveson space. (English) Zbl 06829778 J. Fourier Anal. Appl. 23, No. 6, 1426-1444 (2017). MSC: 47A56 41A20 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Fourier Anal. Appl. 23, No. 6, 1426--1444 (2017; Zbl 06829778) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene On slice hyperholomorphic fractional Hardy spaces. (English) Zbl 1383.30014 Math. Nachr. 290, No. 17-18, 2725-2739 (2017). MSC: 30G35 30H10 PDFBibTeX XMLCite \textit{D. Alpay} et al., Math. Nachr. 290, No. 17--18, 2725--2739 (2017; Zbl 1383.30014) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus On the Bargmann-Radon transform in the monogenic setting. (English) Zbl 1376.30036 J. Geom. Phys. 120, 306-316 (2017). MSC: 30G35 44A12 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Geom. Phys. 120, 306--316 (2017; Zbl 1376.30036) Full Text: DOI arXiv
Colombo, Fabrizio (ed.); Sabadini, Irene (ed.); Struppa, Daniele C. (ed.); Vajiac, Mihaela B. (ed.) Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. (English) Zbl 1381.00024 Trends in Mathematics. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). viii, 398 p. (2017). MSC: 00B15 00B30 30-06 46-06 47-06 PDFBibTeX XMLCite \textit{F. Colombo} (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay's 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (2017; Zbl 1381.00024) Full Text: DOI
Cerejeiras, P. (ed.); Colombo, F. (ed.); Kähler, U. (ed.); Sabadini, I. (ed.) Preface. (English) Zbl 1369.01017 Complex Anal. Oper. Theory 11, No. 5, 977-978 (2017). MSC: 01A70 00B15 30-06 PDFBibTeX XMLCite \textit{P. Cerejeiras} (ed.) et al., Complex Anal. Oper. Theory 11, No. 5, 977--978 (2017; Zbl 1369.01017) Full Text: DOI
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. Evolution of superoscillatory initial data in several variables in uniform electric field. (English) Zbl 1372.78004 J. Phys. A, Math. Theor. 50, No. 18, Article ID 185201, 19 p. (2017). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A10 81Q05 78A25 42A38 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., J. Phys. A, Math. Theor. 50, No. 18, Article ID 185201, 19 p. (2017; Zbl 1372.78004) Full Text: DOI
Aharonov, Yakir; Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff The mathematics of superoscillations. (English) Zbl 1383.42002 Mem. Am. Math. Soc. 1174, vi, 105 p. (2017). Reviewer: Raymond Johnson (Columbia) MSC: 42A16 81P15 81Q10 47B38 35Q41 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., The mathematics of superoscillations. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1383.42002) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene On a class of quaternionic positive definite functions and their derivatives. (English) Zbl 1361.60026 J. Math. Phys. 58, No. 3, 033501, 15 p. (2017). MSC: 60G15 11R52 42A82 30H20 62J10 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 58, No. 3, 033501, 15 p. (2017; Zbl 1361.60026) Full Text: DOI Link
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene Adaptive orthonormal systems for matrix-valued functions. (English) Zbl 1370.47011 Proc. Am. Math. Soc. 145, No. 5, 2089-2106 (2017). MSC: 47A56 41A20 30H10 PDFBibTeX XMLCite \textit{D. Alpay} et al., Proc. Am. Math. Soc. 145, No. 5, 2089--2106 (2017; Zbl 1370.47011) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene Quaternion-valued positive definite functions on locally compact abelian groups and nuclear spaces. (English) Zbl 1410.47008 Appl. Math. Comput. 286, 115-125 (2016). MSC: 47B65 47A57 PDFBibTeX XMLCite \textit{D. Alpay} et al., Appl. Math. Comput. 286, 115--125 (2016; Zbl 1410.47008) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. An introduction to superoscillatory sequences. (English) Zbl 1372.32005 Alpay, Daniel (ed.) et al., Noncommutative analysis, operator theory and applications. Selected papers based on the presentations at the conference, Milano, Italy, June 23–27, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29114-7/hbk; 978-3-319-29116-1/ebook). Operator Theory: Advances and Applications 252. Linear Operators and Linear Systems, 105-121 (2016). Reviewer: Dov Aharonov (Haifa) MSC: 32A15 32A10 47B38 PDFBibTeX XMLCite \textit{F. Colombo} et al., Oper. Theory: Adv. Appl. 252, 105--121 (2016; Zbl 1372.32005) Full Text: DOI
Aharonov, Yakir; Colombo, Fabrizio; Popescu, Sandu; Sabadini, Irene; Struppa, Daniele C.; Tollaksen, Jeff Quantum violation of the pigeonhole principle and the nature of quantum correlations. (English) Zbl 1355.81029 Proc. Natl. Acad. Sci. USA 113, No. 3, 532-535 (2016). MSC: 81P40 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., Proc. Natl. Acad. Sci. USA 113, No. 3, 532--535 (2016; Zbl 1355.81029) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene Wiener algebra for the quaternions. (English) Zbl 1377.46034 Mediterr. J. Math. 13, No. 5, 2463-2482 (2016). Reviewer: Brett Wick (St. Louis) MSC: 46J15 47A68 47B35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Mediterr. J. Math. 13, No. 5, 2463--2482 (2016; Zbl 1377.46034) Full Text: DOI arXiv
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. Entire slice regular functions. (English) Zbl 1372.30001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-49264-3/pbk; 978-3-319-49265-0/ebook). v, 118 p. (2016). Reviewer: Michael Shapiro (Holon) MSC: 30-02 30G35 30C45 30H20 PDFBibTeX XMLCite \textit{F. Colombo} et al., Entire slice regular functions. Cham: Springer (2016; Zbl 1372.30001) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Slice hyperholomorphic Schur analysis. (English) Zbl 1366.30001 Operator Theory: Advances and Applications 256. Basel: Birkhäuser/Springer (ISBN 978-3-319-42513-9/hbk; 978-3-319-42514-6/ebook). xii, 362 p. (2016). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 30-02 30G35 46C20 47B32 30E05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Slice hyperholomorphic Schur analysis. Basel: Birkhäuser/Springer (2016; Zbl 1366.30001) Full Text: DOI
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene Interpolation problems for certain classes of slice hyperholomorphic functions. (English) Zbl 1353.30049 Integral Equations Oper. Theory 86, No. 2, 165-183 (2016). MSC: 30G35 30E05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 86, No. 2, 165--183 (2016; Zbl 1353.30049) Full Text: DOI
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. Superoscillating sequences in several variables. (English) Zbl 1345.32001 J. Fourier Anal. Appl. 22, No. 4, 751-767 (2016). MSC: 32A15 32A10 47B38 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., J. Fourier Anal. Appl. 22, No. 4, 751--767 (2016; Zbl 1345.32001) Full Text: DOI
Alpay, Daniel; Bożejko, Marek; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene Boolean convolution in the quaternionic setting. (English) Zbl 1358.46064 Linear Algebra Appl. 506, 382-412 (2016). MSC: 46L53 46L54 46L51 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 506, 382--412 (2016; Zbl 1358.46064) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Qian, Tao; Sabadini, Irene The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators. (English) Zbl 1350.47017 J. Funct. Anal. 271, No. 6, 1544-1584 (2016). MSC: 47A60 30G35 47A10 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Funct. Anal. 271, No. 6, 1544--1584 (2016; Zbl 1350.47017) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene The spectral theorem for unitary operators based on the \(S\)-spectrum. (English) Zbl 1342.35189 Milan J. Math. 84, No. 1, 41-61 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35P05 47B32 12J25 PDFBibTeX XMLCite \textit{D. Alpay} et al., Milan J. Math. 84, No. 1, 41--61 (2016; Zbl 1342.35189) Full Text: DOI arXiv
Alpay, Daniel (ed.); Cipriani, Fabio (ed.); Colombo, Fabrizio (ed.); Guido, Daniele (ed.); Sabadini, Irene (ed.); Sauvageot, Jean-Luc (ed.) Noncommutative analysis, operator theory and applications. Selected papers based on the presentations at the conference, Milano, Italy, June 23–27, 2014. (English) Zbl 1350.47001 Operator Theory: Advances and Applications 252. Linear Operators and Linear Systems. Basel: Birkhäuser/Springer (ISBN 978-3-319-29114-7/hbk; 978-3-319-29116-1/ebook). vii, 283 p. (2016). MSC: 47-06 46-06 47L10 46L89 00B25 PDFBibTeX XMLCite \textit{D. Alpay} (ed.) et al., Noncommutative analysis, operator theory and applications. Selected papers based on the presentations at the conference, Milano, Italy, June 23--27, 2014. Basel: Birkhäuser/Springer (2016; Zbl 1350.47001) Full Text: DOI
Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír Monogenic plane waves and the \(W\)-functional calculus. (English) Zbl 1350.30068 Math. Methods Appl. Sci. 39, No. 3, 412-424 (2016). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Math. Methods Appl. Sci. 39, No. 3, 412--424 (2016; Zbl 1350.30068) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus On the Szegő-Radon projection of monogenic functions. (English) Zbl 1338.44003 Adv. Appl. Math. 74, 1-22 (2016). MSC: 44A12 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Adv. Appl. Math. 74, 1--22 (2016; Zbl 1338.44003) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Inner product spaces and Krein spaces in the quaternionic setting. (English) Zbl 1376.46017 Alpay, Daniel (ed.) et al., Recent advances in inverse scattering, Schur analysis and stochastic processes. A collection of papers dedicated to Lev Sakhnovich. Cham: Birkhäuser/Springer (ISBN 978-3-319-10334-1/hbk; 978-3-319-10335-8/ebook). Operator Theory: Advances and Applications 244. Linear Operators and Linear Systems, 33-65 (2015). MSC: 46C20 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Oper. Theory: Adv. Appl. 244, 33--65 (2015; Zbl 1376.46017) Full Text: DOI arXiv
Colombo, Fabrizio; Sabadini, Irene Slice hyperholomorphic functional calculi. (English) Zbl 1334.47018 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 1787-1821 (2015). Reviewer: Piotr Niemiec (Kraków) MSC: 47A60 46S10 47-02 30G35 PDFBibTeX XMLCite \textit{F. Colombo} and \textit{I. Sabadini}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 1787--1821 (2015; Zbl 1334.47018) Full Text: DOI Link
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case. (English) Zbl 1337.47015 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 1745-1786 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A48 30G35 47-02 47A57 PDFBibTeX XMLCite \textit{D. Alpay} et al., in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 1745--1786 (2015; Zbl 1337.47015) Full Text: DOI Link
Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. The Radon transform between monogenic and generalized slice monogenic functions. (English) Zbl 1335.30017 Math. Ann. 363, No. 3-4, 733-752 (2015). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Math. Ann. 363, No. 3--4, 733--752 (2015; Zbl 1335.30017) Full Text: DOI arXiv
Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene Further properties of the Bergman spaces of slice regular functions. (English) Zbl 1332.30073 Adv. Geom. 15, No. 4, 469-484 (2015). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Adv. Geom. 15, No. 4, 469--484 (2015; Zbl 1332.30073) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene A new resolvent equation for the \(S\)-functional calculus. (English) Zbl 1354.47016 J. Geom. Anal. 25, No. 3, 1939-1968 (2015). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 47A60 47A13 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Geom. Anal. 25, No. 3, 1939--1968 (2015; Zbl 1354.47016) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene Realizations of slice hyperholomorphic generalized contractive and positive functions. (English) Zbl 1335.47012 Milan J. Math. 83, No. 1, 91-144 (2015). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47B32 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Milan J. Math. 83, No. 1, 91--144 (2015; Zbl 1335.47012) Full Text: DOI arXiv
Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene Boundary interpolation for slice hyperholomorphic Schur functions. (English) Zbl 1317.30047 Integral Equations Oper. Theory 82, No. 2, 223-248 (2015). MSC: 30E05 47B32 30G35 PDFBibTeX XMLCite \textit{K. Abu-Ghanem} et al., Integral Equations Oper. Theory 82, No. 2, 223--248 (2015; Zbl 1317.30047) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Perturbation of the generator of a quaternionic evolution operator. (English) Zbl 1327.47035 Anal. Appl., Singap. 13, No. 4, 347-370 (2015). Reviewer: Janko Bračič (Ljubljana) MSC: 47D06 47A60 47A10 PDFBibTeX XMLCite \textit{D. Alpay} et al., Anal. Appl., Singap. 13, No. 4, 347--370 (2015; Zbl 1327.47035) Full Text: DOI
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. (English) Zbl 1318.30075 Indiana Univ. Math. J. 64, No. 1, 151-180 (2015). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 30G35 30E05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Indiana Univ. Math. J. 64, No. 1, 151--180 (2015; Zbl 1318.30075) Full Text: DOI arXiv Link
Abu-Ghanem, Khaled; Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Gleason’s problem and Schur multipliers in the multivariable quaternionic setting. (English) Zbl 1307.30087 J. Math. Anal. Appl. 425, No. 2, 1083-1096 (2015). MSC: 30G35 PDFBibTeX XMLCite \textit{K. Abu-Ghanem} et al., J. Math. Anal. Appl. 425, No. 2, 1083--1096 (2015; Zbl 1307.30087) Full Text: DOI
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. Superoscillating sequences as solutions of generalized Schrödinger equations. (English. French summary) Zbl 1304.30036 J. Math. Pures Appl. (9) 103, No. 2, 522-534 (2015). MSC: 30D15 30H99 47B38 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., J. Math. Pures Appl. (9) 103, No. 2, 522--534 (2015; Zbl 1304.30036) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Kimsey, David P.; Sabadini, Irene An extension of Herglotz’s theorem to the quaternions. (English) Zbl 1297.30073 J. Math. Anal. Appl. 421, No. 1, 754-778 (2015). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Anal. Appl. 421, No. 1, 754--778 (2015; Zbl 1297.30073) Full Text: DOI arXiv
Colombo, Fabrizio; Peña Peña, Dixan; Sabadini, Irene; Sommen, Frank A new integral formula for the inverse Fueter mapping theorem. (English) Zbl 1305.30024 J. Math. Anal. Appl. 417, No. 1, 112-122 (2014). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Anal. Appl. 417, No. 1, 112--122 (2014; Zbl 1305.30024) Full Text: DOI arXiv
Buniy, R. V.; Colombo, F.; Sabadini, I.; Struppa, D. C. Quantum harmonic oscillator with superoscillating initial datum. (English) Zbl 1301.81054 J. Math. Phys. 55, No. 11, 113511, 10 p. (2014). MSC: 81Q05 81Q10 35Q41 PDFBibTeX XMLCite \textit{R. V. Buniy} et al., J. Math. Phys. 55, No. 11, 113511, 10 p. (2014; Zbl 1301.81054) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene; Salomon, Guy The Fock space in the slice hyperholomorphic setting. (English) Zbl 1314.30092 Bernstein, Swanhild (ed.) et al., Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-08770-2/hbk; 978-3-319-08771-9/ebook). Trends in Mathematics, 43-59 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 30G35 30H20 PDFBibTeX XMLCite \textit{D. Alpay} et al., in: Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5--9, 2013. New York, NY: Birkhäuser/Springer. 43--59 (2014; Zbl 1314.30092) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization. (English) Zbl 1314.30091 Bernstein, Swanhild (ed.) et al., Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-08770-2/hbk; 978-3-319-08771-9/ebook). Trends in Mathematics, 19-41 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 30G35 30J10 PDFBibTeX XMLCite \textit{D. Alpay} et al., in: Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5--9, 2013. New York, NY: Birkhäuser/Springer. 19--41 (2014; Zbl 1314.30091) Full Text: DOI arXiv
Colombo, Fabrizio; Sabadini, Irene The \(F\)-functional calculus for unbounded operators. (English) Zbl 1440.47010 J. Geom. Phys. 86, 392-407 (2014). MSC: 47A60 30G35 47A13 47-02 PDFBibTeX XMLCite \textit{F. Colombo} and \textit{I. Sabadini}, J. Geom. Phys. 86, 392--407 (2014; Zbl 1440.47010) Full Text: DOI
Alpay, Daniel; Colombo, F.; Sabadini, I. On some notions of convergence for \(n\)-tuples of operators. (English) Zbl 1322.47011 Math. Methods Appl. Sci. 37, No. 16, 2363-2371 (2014). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A13 47A58 30G35 47A10 47A60 PDFBibTeX XMLCite \textit{D. Alpay} et al., Math. Methods Appl. Sci. 37, No. 16, 2363--2371 (2014; Zbl 1322.47011) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Krein-Langer factorization and related topics in the slice hyperholomorphic setting. (English) Zbl 1314.47036 J. Geom. Anal. 24, No. 2, 843-872 (2014). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B32 47S10 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Geom. Anal. 24, No. 2, 843--872 (2014; Zbl 1314.47036) Full Text: DOI arXiv
Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene Some integral representations of slice hyperholomorphic functions. (English) Zbl 1302.30064 Mosc. Math. J. 14, No. 3, 473-489 (2014). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Mosc. Math. J. 14, No. 3, 473--489 (2014; Zbl 1302.30064) Full Text: Link
Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C. Bicomplex holomorphic functional calculus. (English) Zbl 1295.30112 Math. Nachr. 287, No. 10, 1093-1105 (2014). MSC: 30G35 47A10 47A60 PDFBibTeX XMLCite \textit{F. Colombo} et al., Math. Nachr. 287, No. 10, 1093--1105 (2014; Zbl 1295.30112) Full Text: DOI Link
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. Evolution of superoscillatory data. (English) Zbl 1290.32005 J. Phys. A, Math. Theor. 47, No. 20, Article ID 205301, 18 p. (2014). MSC: 32A37 35G10 81P15 81Q05 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., J. Phys. A, Math. Theor. 47, No. 20, Article ID 205301, 18 p. (2014; Zbl 1290.32005) Full Text: DOI Link
Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. Twisted plane wave expansions using hypercomplex methods. (English) Zbl 1288.30051 Publ. Res. Inst. Math. Sci. 50, No. 1, 1-18 (2014). MSC: 30G35 46F20 PDFBibTeX XMLCite \textit{F. Colombo} et al., Publ. Res. Inst. Math. Sci. 50, No. 1, 1--18 (2014; Zbl 1288.30051) Full Text: DOI
Aharonov, Y.; Colombo, F.; Sabadini, I.; Struppa, D. C.; Tollaksen, J. On superoscillations longevity: a windowed Fourier transform approach. (English) Zbl 1282.81066 Struppa, Daniele C. (ed.) et al., Quantum theory: a two-time success story. Yakir Aharonov Festschrift in honor of Yakir Aharonov’s 80th birthday. Milano: Springer (ISBN 978-88-470-5216-1/hbk; 978-88-470-5217-8/ebook). 313-325 (2014). MSC: 81Q05 PDFBibTeX XMLCite \textit{Y. Aharonov} et al., in: Quantum theory: a two-time success story. Yakir Aharonov Festschrift in honor of Yakir Aharonov's 80th birthday. Milano: Springer. 313--325 (2014; Zbl 1282.81066) Full Text: DOI
Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus The Fueter primitive of biaxially monogenic functions. (English) Zbl 1277.30036 Commun. Pure Appl. Anal. 13, No. 2, 657-672 (2014). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Commun. Pure Appl. Anal. 13, No. 2, 657--672 (2014; Zbl 1277.30036) Full Text: DOI
Alpay, D.; Colombo, F.; Kimsey, D. P.; Sabadini, I. An extension of Herglotz’s theorem to the quaternions. arXiv:1403.0079 Preprint, arXiv:1403.0079 [math.FA] (2014). BibTeX Cite \textit{D. Alpay} et al., ``An extension of Herglotz's theorem to the quaternions'', Preprint, arXiv:1403.0079 [math.FA] (2014) Full Text: arXiv OA License
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions. (English) Zbl 1281.30034 J. Anal. Math. 121, 87-125 (2013). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 30G35 46S10 32A30 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Anal. Math. 121, 87--125 (2013; Zbl 1281.30034) Full Text: DOI arXiv