Colombo, F.; Mantovani, F.; Schlosser, P. Spectral properties of the gradient operator with nonconstant coefficients. (English) Zbl 07920848 Anal. Math. Phys. 14, No. 5, Paper No. 108, 31 p. (2024). MSC: 47A10 47A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene Octonionic monogenic and slice monogenic Hardy and Bergman spaces. (English) Zbl 07896912 Forum Math. 36, No. 4, 1031-1052 (2024). MSC: 30G35 17D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Diki, Kamal; Sabadini, Irene; Struppa, Daniele C. A Hörmander-Fock space. (English) Zbl 07893755 Complex Var. Elliptic Equ. 69, No. 8, 1320-1343 (2024). MSC: 30H20 44A15 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, F.; Sabadini, I.; Struppa, D. C.; Yger, A. Analyticity and supershift with irregular sampling. (English) Zbl 07881342 Complex Anal. Synerg. 10, No. 2, Paper No. 10, 13 p. (2024). MSC: 42C10 26E05 94A20 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Colombo, Fabrizio; Pinton, Stefano; Schlosser, Peter The \(H^{\infty}\)-functional calculi for the quaternionic fine structures of Dirac type. (English) Zbl 07852016 Milan J. Math. 92, No. 1, 73-122 (2024). MSC: 47A10 47A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Alpay, Daniel; Colombo, Fabrizio; De Martino, Antonino; Diki, Kamal; Sabadini, Irene On axially rational regular functions and Schur analysis in the Clifford-Appell setting. (English) Zbl 07849835 Anal. Math. Phys. 14, No. 3, Paper No. 41, 59 p. (2024). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B32 47S10 30G35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Colombo, Fabrizio; Krausshar, Rolf Soeren; Pinton, Stefano; Sabadini, Irene Entire monogenic functions of given proximate order and continuous homomorphisms. (English) Zbl 1537.30027 Mediterr. J. Math. 21, No. 2, Paper No. 44, 28 p. (2024). MSC: 30G35 32D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cerejeiras, P.; Colombo, F.; Debernardi Pinos, A.; Kähler, U.; Sabadini, I. Nuclearity and Grothendieck-Lidskii formula for quaternionic operators. (English) Zbl 07826172 Adv. Math. 442, Article ID 109558, 51 p. (2024). MSC: 47S05 46S05 47B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Colombo, Fabrizio; Pozzi, Elodie; Sabadini, Irene; Wick, Brett D. Aharonov-Bohm effect and superoscillations. arXiv:2404.17828 Preprint, arXiv:2404.17828 [math-ph] (2024). × Cite Format Result Cite Full Text: arXiv OA License
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). × Cite Format Result Cite Full Text: arXiv OA License
Cerejeiras, Paula; Colombo, Fabrizio; Käehler, Uwe; Sabadini, Irene Quaternionic triangular linear operators. (English) Zbl 1529.47133 Math. Methods Appl. Sci. 46, No. 2, 2093-2116 (2023). MSC: 47S05 47B28 47A10 47A60 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators. (English) Zbl 1529.47026 Banach J. Math. Anal. 17, No. 4, Paper No. 84, 41 p. (2023). MSC: 47A60 47A10 47S05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 1531.81086 Discrete Appl. Math. 340, 215-227 (2023). MSC: 81Q15 33C15 35B34 08A40 81P15 28B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter; Struppa, Daniele C. Integral representation of superoscillations via complex Borel measures and their convergence. (English) Zbl 1521.35008 Trans. Am. Math. Soc. 376, No. 9, 6315-6340 (2023). MSC: 35A20 35A08 × Cite Format Result Cite Review PDF 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 1530.47004 J. Geom. Anal. 33, No. 9, Paper No. 300, 73 p. (2023). MSC: 47A10 47A60 30G35 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
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). × Cite Format Result Cite Full Text: arXiv OA License
Aharonov, Y.; Colombo, F.; Jordan, A. N.; Sabadini, I.; Shushi, T.; Struppa, D. C.; Tollaksen, J. On superoscillations and supershifts in several variables. (English) Zbl 07899049 Quantum Stud. Math. Found. 9, No. 4, 417-433 (2022). MSC: 81-XX 26A09 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aharonov, Yakir; Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter A unified approach to Schrödinger evolution of superoscillations and supershifts. (English) Zbl 1490.81070 J. Evol. Equ. 22, No. 1, Paper No. 26, 31 p. (2022). MSC: 81Q05 35A08 32A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, Fabrizio; Kimsey, David P. The spectral theorem for normal operators on a Clifford module. (English) Zbl 07452163 Anal. Math. Phys. 12, No. 1, Paper No. 25, 92 p. (2022). MSC: 47A10 47A60 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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). × Cite Format Result Cite 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aharonov, Yakir; Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter Green’s function for the Schrödinger equation with a generalized point interaction and stability of superoscillations. (English) Zbl 1456.81165 J. Differ. Equations 277, 153-190 (2021). MSC: 81Q05 35Q41 35J10 35J08 35A08 35L20 32A10 81S30 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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). × Cite Format Result Cite Full Text: DOI arXiv OA License
Aharonov, Yakir; Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter Schrödinger evolution of superoscillations with \(\delta\)- and \(\delta '\)-potentials. (English) Zbl 07899126 Quantum Stud. Math. Found. 7, No. 3, 293-305 (2020). MSC: 81-XX 32A15 32A10 47B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Alpay, D.; Colombo, F.; Sabadini, I.; Struppa, D. C. Aharonov-Berry superoscillations in the radial harmonic oscillator potential. (English) Zbl 07899124 Quantum Stud. Math. Found. 7, No. 3, 269-283 (2020). MSC: 81-XX 32A15 32A10 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Valente, Giovanni Evolution of superoscillations in the Dirac field. (English) Zbl 1457.30008 Found. Phys. 50, No. 11, 1356-1375 (2020). MSC: 30D15 32A15 35J10 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; González, Denis Deniz; Pinton, Stefano Fractional powers of vector operators with first order boundary conditions. (English) Zbl 1442.47066 J. Geom. Phys. 151, Article ID 103618, 18 p. (2020). MSC: 47S05 47B93 26A33 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, F.; Gantner, J.; Struppa, D. C. Evolution by Schrödinger equation of Aharonov-Berry superoscillations in centrifugal potential. (English) Zbl 1472.35321 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2225, Article ID 20180390, 17 p. (2019). MSC: 35Q41 47F05 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Peloso, Marco M.; Pinton, Stefano The structure of the fractional powers of the noncommutative Fourier law. (English) Zbl 1447.47062 Math. Methods Appl. Sci. 42, No. 18, 6259-6276 (2019). MSC: 47N20 47A10 47A60 26A33 60J60 35K05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behrndt, Jussi; Colombo, Fabrizio; Schlosser, Peter Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential. (English) Zbl 1423.81063 Quantum Stud. Math. Found. 6, No. 3, 279-293 (2019). MSC: 81Q05 34L40 32A15 32A10 47B38 46F10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Colombo, Fabrizio; Gantner, Jonathan Quaternionic closed operators, fractional powers and fractional diffusion processes. (English) Zbl 1458.47001 Operator Theory: Advances and Applications 274. Cham: Birkhäuser (ISBN 978-3-030-16408-9/hbk; 978-3-030-16411-9/pbk; 978-3-030-16409-6/ebook). viii, 322 p. (2019). Reviewer: Heinrich Hering (Rockenberg) MSC: 47-02 47S05 47A60 26A33 60J60 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, Fabrizio; Mongodi, Samuele; Peloso, Marco; Pinton, Stefano Fractional powers of the noncommutative Fourier’s law by the \(S\)-spectrum approach. (English) Zbl 1447.47061 Math. Methods Appl. Sci. 42, No. 5, 1662-1686 (2019). MSC: 47N20 47A10 47A60 26A33 60J60 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, Fabrizio; Mongodi, Samuele The Cauchy transform in the slice hyperholomorphic setting and related topics. (English) Zbl 1418.30046 J. Geom. Phys. 137, 162-183 (2019). MSC: 30G35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, F.; Struppa, D. C.; Yger, A. Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation. (English) Zbl 1421.42003 J. Fourier Anal. Appl. 25, No. 1, 242-266 (2019). Reviewer: George O. Okikiolu (London) MSC: 42A16 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. Spectral theory on the S-spectrum for quaternionic operators. (English) Zbl 1422.47002 Operator Theory: Advances and Applications 270. Cham: Birkhäuser (ISBN 978-3-030-03073-5/hbk; 978-3-030-03074-2/ebook). ix, 356 p. (2018). Reviewer: Michael Shapiro (Holon) MSC: 47-02 47A10 47B99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Gantner, Jonathan An application of the \(S\)-functional calculus to fractional diffusion processes. (English) Zbl 1447.47063 Milan J. Math. 86, No. 2, 225-303 (2018). MSC: 47S05 47A60 47A10 26A33 60J60 47N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aharonov, Y.; Colombo, Fabrizio; Struppa, D. C.; Tollaksen, J. Schrödinger evolution of superoscillations under different potentials. (English) Zbl 1402.81121 Quantum Stud. Math. Found. 5, No. 3, 485-504 (2018). MSC: 81Q05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Gantner, Jonathan Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space. (English) Zbl 1401.60151 J. Phys. A, Math. Theor. 51, No. 30, Article ID 305201, 25 p. (2018). MSC: 60J60 60G22 80A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Colombo, Fabrizio; Gantner, Jonathan Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity. (English) Zbl 06814519 Trans. Am. Math. Soc. 370, No. 2, 1045-1100 (2018). MSC: 47A10 47A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Colombo, Fabrizio; Gantner, Jonathan An introduction to fractional powers of quaternionic operators and new fractional diffusion processes. (English) Zbl 06864061 Colombo, Fabrizio (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. Trends Math., 101-134 (2017). MSC: 47-XX 47A10 47A60 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, F.; Gantner, J.; Struppa, D. C. Evolution of superoscillations for Schrödinger equation in a uniform magnetic field. (English) Zbl 1372.81040 J. Math. Phys. 58, No. 9, 092103, 17 p. (2017). MSC: 81Q05 42A16 44A35 45E10 78A30 35G16 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, F.; Gantner, J.; Janssens, T. Berezin transform of slice functions. (English) Zbl 1375.30070 Complex Var. Elliptic Equ. 62, No. 9, 1204-1220 (2017). MSC: 30G35 30H20 46E22 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Colombo, Fabrizio; Peña, Dixan Peña; Sommen, Frank A Cauchy kernel for the Hermitian submonogenic system. (English) Zbl 1406.30016 Math. Nachr. 290, No. 2-3, 201-217 (2017). MSC: 30G35 32A26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P. Functions of the infinitesimal generator of a strongly continuous quaternionic group. (English) Zbl 1370.47015 Anal. Appl., Singap. 15, No. 2, 279-311 (2017). MSC: 47A60 47A10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Kimsey, David P. A panorama on quaternionic spectral theory and related functional calculi. (English) Zbl 1388.30068 Bernstein, Swanhild (ed.) et al., Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-42528-3/hbk; 978-3-319-42529-0/ebook). Trends in Mathematics, 111-142 (2016). MSC: 30G35 30-02 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Fabrizio; Gantner, Jonathan; Janssens, Tim Schatten class and Berezin transform of quaternionic linear operators. (English) Zbl 1356.47025 Math. Methods Appl. Sci. 39, No. 18, 5582-5606 (2016). MSC: 47B10 47A10 47A60 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI