Spectral theory on the S-spectrum for quaternionic operators F Colombo, J Gantner, DP Kimsey Springer International Publishing 270, 1-356, 2018 | 122 | 2018 |
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes F Colombo, J Gantner Springer International Publishing, 2019 | 73 | 2019 |
A new resolvent equation for the S-functional calculus D Alpay, F Colombo, J Gantner, I Sabadini The Journal of Geometric Analysis 25 (3), 1939-1968, 2015 | 64 | 2015 |
The-spectrum and the-functional calculus F Colombo, I Sabadini Proceedings of the Royal Society of Edinburgh Section A: Mathematics 142 (3 …, 2012 | 46 | 2012 |
Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity F Colombo, J Gantner Transactions of the American Mathematical Society 370 (2), 1045-1100, 2018 | 38 | 2018 |
Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions CMPC Villalba, F Colombo, J Gantner, JO González-Cervantes Complex Analysis and Operator Theory 9 (2), 479-517, 2015 | 31 | 2015 |
Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators J Gantner arXiv preprint arXiv:1803.10524, 2018 | 30 | 2018 |
On the equivalence of complex and quaternionic quantum mechanics J Gantner Quantum Studies: Mathematics and Foundations 5 (2), 357-390, 2018 | 28 | 2018 |
An Application of the S-Functional Calculus to Fractional Diffusion Processes F Colombo, J Gantner Milan Journal of Mathematics 86 (2), 225-303, 2018 | 27 | 2018 |
An Application of the S-Functional Calculus to Fractional Diffusion Processes F Colombo, J Gantner Milan Journal of Mathematics 86 (2), 225-303, 2018 | 27 | 2018 |
A direct approach to the S-functional calculus for closed operators J Gantner arXiv preprint arXiv:1602.03910, 2016 | 26 | 2016 |
Functions of the infinitesimal generator of a strongly continuous quaternionic group D Alpay, F Colombo, J Gantner, DP Kimsey Analysis and Applications 15 (02), 279-311, 2017 | 25 | 2017 |
Formulations of the F-functional calculus and some consequences F Colombo, J Gantner Proceedings of the Royal Society of Edinburgh: Section A Mathematics 146 (03 …, 2016 | 25 | 2016 |
Evolution of superoscillations for Schrödinger equation in a uniform magnetic field F Colombo, J Gantner, DC Struppa Journal of Mathematical Physics 58 (9), 092103, 2017 | 19 | 2017 |
Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions CMP Castillo Villalba, F Colombo, J Gantner, JO Gonzalez-Cervantes arXiv, arXiv: 1403.7187, 2014 | 19 | 2014 |
Schatten class and Berezin transform of quaternionic linear operators F Colombo, J Gantner, T Janssens Mathematical Methods in the Applied Sciences 39 (18), 5582-5606, 2016 | 17 | 2016 |
Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential F Colombo, J Gantner, DC Struppa Proceedings of the Royal Society A 475 (2225), 20180390, 2019 | 16 | 2019 |
BMO‐and VMO‐spaces of slice hyperholomorphic functions J Gantner, JO González‐Cervantes, T Janssens Mathematische Nachrichten 290 (14-15), 2259-2279, 2017 | 13 | 2017 |
On power series expansions of the S-resolvent operator and the Taylor formula F Colombo, J Gantner Journal of Geometry and Physics 110, 154-175, 2016 | 13 | 2016 |
Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space F Colombo, J Gantner Journal of Physics A: Mathematical and Theoretical 51 (30), 305201, 2018 | 12 | 2018 |