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Jonathan Gantner
Jonathan Gantner
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Title
Cited by
Cited by
Year
Spectral theory on the S-spectrum for quaternionic operators
F Colombo, J Gantner, DP Kimsey
Springer International Publishing 270, 1-356, 2018
1122018
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
F Colombo, J Gantner
Springer International Publishing, 2019
682019
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
632015
The-spectrum and the-functional calculus
F Colombo, I Sabadini
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 142 (3 …, 2012
442012
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
372018
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
302015
On the equivalence of complex and quaternionic quantum mechanics
J Gantner
Quantum Studies: Mathematics and Foundations 5 (2), 357-390, 2018
282018
Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators
J Gantner
arXiv preprint arXiv:1803.10524, 2018
272018
An Application of the S-Functional Calculus to Fractional Diffusion Processes
F Colombo, J Gantner
Milan Journal of Mathematics 86 (2), 225-303, 2018
262018
An Application of the S-Functional Calculus to Fractional Diffusion Processes
F Colombo, J Gantner
Milan Journal of Mathematics 86 (2), 225-303, 2018
262018
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
252017
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
252016
A direct approach to the S-functional calculus for closed operators
J Gantner
arXiv preprint arXiv:1602.03910, 2016
252016
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
182017
Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions
CMP Castillo Villalba, F Colombo, J Gantner, JO Gonzalez-Cervantes
arXiv, arXiv: 1403.7187, 2014
182014
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
172016
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
162019
BMO‐and VMO‐spaces of slice hyperholomorphic functions
J Gantner, JO González‐Cervantes, T Janssens
Mathematische Nachrichten 290 (14-15), 2259-2279, 2017
132017
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
132016
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
122018
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