Titlebook: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes; Fabrizio Colombo,Jonathan Gantner Book 2019 Springer

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SOBER

受辱

泛濫

evaculate

The ,-Functional Calculus,The H.-functional calculus was originally introduced in [170] by Alan McIntosh. His approach was generalized to quaternionic sectorial operators that are injective and have dense range in [30]. Moreover, under the above assumptions, in [30], it is also treated the case of n-tuples of noncommuting operators.

無動(dòng)于衷

conspicuous

Debility

Historical notes and References,Several years ago, motivated by the paper [37] of G. Birkho_ and J. von Neumann and the book [4], one of the authors and I. Sabadini started to look for an appropriate notion of spectrum for quaternionic linear operators.

細(xì)查

Appendix: Principles of functional Analysis,The principles of functional analysis do not depend on the quaternionic structure, so with minor changes these can be proved also in quaternionic functional analysis. For the convenience of the reader, we collect such results in this appendix.

Foment

Fabrizio Colombo,Jonathan GantnerContains a new theory for evolution operators.Allows defining new classes of fractional diffusion and evolution problems.Inspires to explore new research directions