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pro vyhledávání: '"Jonathan Gantner"'
The spectral theory on the $S$-spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation. Then it turned out that this theory has important applications in seve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05343a5cec8bd1fc1a64c76c703fc28f
http://arxiv.org/abs/2112.05204
http://arxiv.org/abs/2112.05204
Autor:
Fabrizio Colombo, Jonathan Gantner
This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and
Autor:
Jonathan Gantner, Fabrizio Colombo
Publikováno v:
Milan Journal of Mathematics. 86:225-303
In this paper we show how the spectral theory based on the notion of S-spectrum allows us to study new classes of fractional diffusion and of fractional evolution processes. We prove new results on the quaternionic version of the $${H^\infty}$$ funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ac231682632dbcd700507cfead1abb5
https://doi.org/10.1007/s00032-018-0287-z
https://doi.org/10.1007/s00032-018-0287-z
Autor:
Jonathan Gantner
Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operat
Autor:
Fabrizio Colombo, Jonathan Gantner
Publikováno v:
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes ISBN: 9783030164089
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65e20fecc91fa1fa5728e6edfd54e70f
https://doi.org/10.1007/978-3-030-16409-6_4
https://doi.org/10.1007/978-3-030-16409-6_4
Autor:
Jonathan Gantner, Fabrizio Colombo
Publikováno v:
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes ISBN: 9783030164089
Fractional powers of operators aroused the interest of mathematicians in the 1960s in [36,167{169, 204, 205] and have been extensively studied since then. They have applications in the theory of semi-groups [164], they allow to de_ne interpolation sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82024427a15c5cfb5e1fa58ba6bdf89f
https://doi.org/10.1007/978-3-030-16409-6_8
https://doi.org/10.1007/978-3-030-16409-6_8
In recent years, we have investigated the evolution of superoscillations under Schrödinger equation with non-singular potentials. In all those cases, we have shown that superoscillations persist in time. In this paper, we investigate the centrifugal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee721b161e3a2cd211b29ea05b0bfe00
http://hdl.handle.net/11311/1126684
http://hdl.handle.net/11311/1126684
Autor:
Jonathan Gantner, Fabrizio Colombo
Publikováno v:
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes ISBN: 9783030164089
In Chapter 3, we have introduced the direct approach to the S-functional calculus for unbounded operators, which only requires the operator T to be closed and have a nonempty S-resolvent set.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::819a730219684e53159cd0342ea9f01d
https://doi.org/10.1007/978-3-030-16409-6_6
https://doi.org/10.1007/978-3-030-16409-6_6
Autor:
Fabrizio Colombo, Jonathan Gantner
Publikováno v:
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes ISBN: 9783030164089
In the applications, it is in general not trivial to verify the conditions of the Hille{Phillips{Yosida theorem. So an other aspect that we will investigate is the generation by perturbation.
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https://explore.openaire.eu/search/publication?articleId=doi_________::fc0d9a79ccbd0138be8033ca244ff807
https://doi.org/10.1007/978-3-030-16409-6_5
https://doi.org/10.1007/978-3-030-16409-6_5
Autor:
Jonathan Gantner, Fabrizio Colombo
Publikováno v:
Operator Theory: Advances and Applications ISBN: 9783030164089
Operator Theory: Advances and Applications
Operator Theory: Advances and Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e6b53e6b591b05825b17b26e88e635d
https://doi.org/10.1007/978-3-030-16409-6
https://doi.org/10.1007/978-3-030-16409-6