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 × 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
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
Xu, Zhenghua; Sabadini, Irene Generalized partial-slice monogenic functions: a synthesis of two function theories. (English) Zbl 07840503 Adv. Appl. Clifford Algebr. 34, No. 2, Paper No. 10, 14 p. (2024). MSC: 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
Gal, Sorin G.; Sabadini, Irene Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces. (English) Zbl 1532.30011 Complex Anal. Oper. Theory 18, No. 1, Paper No. 8, 21 p. (2024). MSC: 30E10 30G35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
González-Cervantes, José Oscar; Bory-Reyes, Juan; Sabadini, Irene Fractional slice regular functions of a quaternionic variable. (English) Zbl 1535.30113 Result. Math. 79, No. 1, Paper No. 32, 21 p. (2024). MSC: 30G35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, Fabrizio; De Martino, Antonino; Pinton, Stefano; Sabadini, Irene; Schlosser, Peter An introduction to the fine structures on the \(S\)-spectrum. arXiv:2410.07251 Preprint, arXiv:2410.07251 [math.SP] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Dou, Xinyuan; Jin, Ming; Ren, Guangbin; Sabadini, Irene Domains of existence of slice regular functions in one quaternionic variable. arXiv:2405.03394 Preprint, arXiv:2405.03394 [math.CV] (2024). MSC: 30G35 32A30 32D05 × Cite Format Result Cite Full Text: 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
Kähler, Uwe (ed.); Reissig, Michael (ed.); Sabadini, Irene (ed.); Vindas, Jasson (ed.) Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. (English) Zbl 1531.35008 Trends in Mathematics. Research Perspectives. Cham: Birkhäuser (ISBN 978-3-031-36374-0/pbk; 978-3-031-36375-7/ebook). xi, 723 p. (2023). MSC: 35-06 37-06 30-06 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions. (English) Zbl 1536.30078 J. Eur. Math. Soc. (JEMS) 25, No. 9, 3665-3694 (2023). Reviewer: Caterina Stoppato (Firenze) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene A representation formula for slice regular functions over slice-cones in several variables. (English) Zbl 1526.30062 Ann. Mat. Pura Appl. (4) 202, No. 5, 2421-2446 (2023). Reviewer: Swanhild Bernstein (Freiberg) MSC: 30G35 17A30 × Cite Format Result Cite Review PDF 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 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
Aoki, Takashi; Okada, Yasunori; Sabadini, Irene; Struppa, Daniele C. Infinite order differential operators with a glimpse to applications to superoscillations. (English) Zbl 07691547 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, 1-26 (2023). MSC: 47E05 × 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
Gal, Sorin G.; Sabadini, Irene Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls. (English) Zbl 1515.30090 Comput. Methods Funct. Theory 23, No. 1, 101-123 (2023). MSC: 30E10 41A25 30G35 30G20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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
González-Cervantes, José Oscar; Bory-Reyes, Juan; Sabadini, Irene A Borel-Pompeiu formula in a \((q,q')\)-model of quaternionic analysis. arXiv:2401.00620 Preprint, arXiv:2401.00620 [math.CV] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Xu, Zhenghua; Sabadini, Irene On the Fueter-Sce theorem for generalized partial-slice monogenic functions. arXiv:2311.12545 Preprint, arXiv:2311.12545 [math.CV] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Colombo, Fabizio; Krausshar, Rolf Soeren; Sabadini, Irene Slice monogenic theta series. arXiv:2311.07681 Preprint, arXiv:2311.07681 [math.NT] (2023). MSC: 30G35 × Cite Format Result Cite 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). × Cite Format Result Cite Full Text: arXiv OA License
Xu, Zhenghua; Sabadini, Irene Generalized partial-slice monogenic functions. arXiv:2309.03698 Preprint, arXiv:2309.03698 [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; Diki, Kamal; Sabadini, Irene Fock and Hardy spaces: Clifford Appell case. (English) Zbl 1523.30058 Math. Nachr. 295, No. 5, 834-860 (2022). MSC: 30G35 30H10 30H20 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link OA License
Gal, Sorin G.; Sabadini, Irene Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces. (English) Zbl 1526.30063 Bull. Belg. Math. Soc. - Simon Stevin 29, No. 4, 533-553 (2022). MSC: 30G35 30E10 30H20 × 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
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
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene; Wang, Xieping Slice quaternionic analysis in two variables. (English) Zbl 1527.30032 Complex Var. Elliptic Equ. 67, No. 8, 1907-1930 (2022). MSC: 30G35 17A35 32A30 × Cite Format Result Cite Review PDF Full Text: DOI
Guzmán Adán, Alí; Sabadini, Irene; Sommen, Frank On the Radon transform and the Dirac delta distribution in superspace. (English) Zbl 1502.46059 Anal. Appl., Singap. 20, No. 5, 895-946 (2022). MSC: 46S60 46F10 44A12 58C35 58C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerejeiras, Paula (ed.); Reissig, Michael (ed.); Sabadini, Irene (ed.); Toft, Joachim (ed.) Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. (English) Zbl 1497.42002 Trends in Mathematics. Research Perspectives. Cham: Birkhäuser (ISBN 978-3-030-87501-5/pbk; 978-3-030-87502-2/ebook). xiv, 699 p. (2022). MSC: 42-06 35-06 49-06 42B37 42Bxx 42Cxx 35Cxx 49J40 43-06 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Alpay, Daniel; Diki, Kamal; Sabadini, Irene On the global operator and Fueter mapping theorem for slice polyanalytic functions. (English) Zbl 1482.30116 Anal. Appl., Singap. 19, No. 6, 941-964 (2021). MSC: 30G35 32A25 30E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Dou, Xinyuan; Jin, Ming; Ren, Guangbin; Sabadini, Irene A new approach to slice analysis via slice topology. (English) Zbl 1482.30118 Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 67, 36 p. (2021). Reviewer: María Elena Luna Elizarrarás (Holon) MSC: 30G35 32D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene; Yang, Ting Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions. (English) Zbl 1482.30119 J. Geom. Anal. 31, No. 11, 11312-11337 (2021). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 32A10 × 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
Alpay, Daniel; Diki, Kamal; Sabadini, Irene Correction to: “On slice polyanalytic functions of a quaternionic variable”. (English) Zbl 1465.30009 Result. Math. 76, No. 2, Paper No. 84, 4 p. (2021). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
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
Sabadini, I.; Struppa, D. C. Total differentiability and monogenicity for functions in algebras of order 4. (English) Zbl 1509.30038 Complex Anal. Oper. Theory 15, No. 2, Paper No. 26, 23 p. (2021). Reviewer: Pan Lian (Tianjin) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI 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, 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
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
Jin, Ming; Ren, Guangbin; Sabadini, Irene Slice Dirac operator over octonions. (English) Zbl 1479.30038 Isr. J. Math. 240, No. 1, 315-344 (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gal, Sorin G.; Sabadini, Irene Polynomial approximation in quaternionic Bloch and Besov spaces. (English) Zbl 1455.30039 Adv. Appl. Clifford Algebr. 30, No. 5, Paper No. 64, 19 p. (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 30E10 × Cite Format Result Cite Review PDF 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 × 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
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
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
Diki, Kamal; Gal, Sorin G.; Sabadini, Irene Polynomial approximation in slice regular Fock spaces. (English) Zbl 1445.30024 Complex Anal. Oper. Theory 13, No. 6, 2729-2746 (2019). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 30E10 30H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gal, Sorin G.; Sabadini, Irene On the Turán inequality for quaternionic polynomials. (English) Zbl 1427.30075 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 78, 12 p. (2019). MSC: 30G35 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. (English) Zbl 1479.30034 J. Math. Phys. 60, No. 8, 083506, 26 p. (2019). Reviewer: Regina de Almeida (Vila Real) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabadini, Irene; Sommen, Franciscus Radon-type transforms for holomorphic functions in the Lie ball. (English) Zbl 1421.30065 J. Geom. Anal. 29, No. 3, 2709-2737 (2019). MSC: 30G35 44A12 × 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
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
Dong, Baohua; Kou, Kit Ian; Qian, Tao; Sabadini, Irene The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\). (English) Zbl 1414.30050 J. Math. Anal. Appl. 476, No. 2, 819-835 (2019). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Gal, Sorin G.; Sabadini, Irene Quaternionic approximation. With application to slice regular functions. (English) Zbl 1432.30034 Frontiers in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-10664-5/pbk; 978-3-030-10666-9/ebook). x, 221 p. (2019). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 41A99 30-02 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Diki, Kamal; Sabadini, Irene On slice polyanalytic functions of a quaternionic variable. (English) Zbl 1426.30034 Result. Math. 74, No. 1, Paper No. 17, 25 p. (2019); correction ibid. 76, No. 2, Paper No. 84, 4 p. (2021). Reviewer: Linda R. Sons (DeKalb) 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
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
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
Aharonov, Y.; Sabadini, Irene; Tollaksen, J.; Yger, A. Classes of superoscillating functions. (English) Zbl 1402.81122 Quantum Stud. Math. Found. 5, No. 3, 439-454 (2018). MSC: 81Q05 81Q70 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Muraleetharan, B.; Sabadini, I.; Thirulogasanthar, K. S-spectrum and the quaternionic Cayley transform of an operator. (English) Zbl 1390.81244 J. Geom. Phys. 124, 442-455 (2018). MSC: 81R30 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gal, S. G.; Sabadini, I. Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball. (English) Zbl 1388.30072 Math. Methods Appl. Sci. 41, No. 4, 1619-1630 (2018). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Sabadini, I.; Vajiac, A.; Vajiac, M. B. Bernstein-type inequalities for bicomplex polynomials. (English) Zbl 1388.30078 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 (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 281-299 (2017). MSC: 30G35 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus Fueter’s theorem for monogenic functions in biaxial symmetric domains. (English) Zbl 1383.30016 Result. Math. 72, No. 4, 1747-1758 (2017). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus Segal-Bargmann-Fock modules of monogenic functions. (English) Zbl 1377.30043 J. Math. Phys. 58, No. 10, 103507, 9 p. (2017). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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
Muraleetharan, B.; Thirulogasanthar, K.; Sabadini, Irene A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting. (English) Zbl 1372.81093 Ann. Phys. 385, 180-213 (2017). MSC: 81R30 81R05 46E22 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peña, Dixan Peña; Sabadini, Irene; Sommen, Frank On two-sided monogenic functions of axial type. (English) Zbl 1376.30038 Mosc. Math. J. 17, No. 1, 129-143 (2017). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: arXiv 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
Sabadini, Irene; Saracco, Alberto Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball. (English) Zbl 1375.30078 J. Lond. Math. Soc., II. Ser. 95, No. 3, 853-874 (2017). MSC: 30G35 30H10 30H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González-Cervantes, J. Oscar; Sabadini, Irene On some splitting properties of slice regular functions. (English) Zbl 1375.30073 Complex Var. Elliptic Equ. 62, No. 9, 1393-1409 (2017). MSC: 30G35 30H20 × Cite Format Result Cite Review PDF Full Text: DOI
Gal, Sorin G.; Sabadini, Irene Faber polynomials on quaternionic compact sets. (English) Zbl 1377.30039 Complex Anal. Oper. Theory 11, No. 5, 1205-1220 (2017). Reviewer: Michael Shapiro (Holon) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI