The quaternionic evolution operator
By Fabrizio Colombo, Irene Sabadini. 2011
68 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/148460aa2285aa200488517aeac8cec67c5bb1cd
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In Algebra and Number Theory
- Fabrizio Colombo
- Irene Sabadini
- Daniele C. Struppa
- Daniel Alpay
- M. E. Luna-Elizarrar'as
- M. Shapiro
- Caterina Stoppato
- Graziano Gentili
In Applied Mathematics
- Irene Sabadini
- Fabrizio Colombo
- Daniele C. Struppa
- Daniel Alpay
- Caterina Stoppato
- Graziano Gentili
- M. E. Luna-Elizarrar'as
- M. Shapiro
Citations in the corpus
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum (2014, unknown): “he S-resolvent operators are also used in Schur analysis in the realization of Schur functions in the slice hyperholomorphic setting see [1, 7, 8, 9] and [3, 10] for the classical case. In the papers [4, 13, 24] the problem of the generation of quaternionic groups and semigroups is treated using the”
- Entire slice regular functions (2015, background): “The theory of groups and semigroups of quaternionic operators has been developed and studied in the papers [22, 62, 124].”
- A New Resolvent Equation for the $$S$$S-Functional Calculus (2013, unknown): “The theory of the quaternionic evolution operators is developed in [12] where is also studied the case in which the generator is unbounded.”
- Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (2013, background): “As the work in [25] and in the subsequent work of some of our collaborators [59] has demonstrated, the quaternionic functional calculus is an important instrument in the development of an operational quaternionic quantum mechanics.”
- Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions (2012, unknown): “[16, 18, 21]; while slice monogenic functions admit a functional calculus for n-tuples of operators, see [24, 20, 22].”
- Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting (2011, background): “For some results on the quaternionic functional calculus we refer the reader to [34, 37, 39, 41].”