Descript 
viii, 322 pages ; 25 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
Series 
Operator theory: Advances and applications, 02550156 ; Volume 274


Operator theory, advances and applications ; v. 274

Note 
Includes bibliographical references (pages 307320) and index 

Also available online 

Current copyright fee: GBP34.00 22\1. Uk 

Introduction  Theoretical aspects  Applications to fractional diffusion processes  On quaternionic spectral theories  Preliminary results  Slice hyperholomorphic functions  The Sfunctional calculus for bounded operators  Bounded operators with commuting components  The direct approach to the Sfunctional calculus  Properties of the Sspectrum of a closed operator  The Sresolvent of a closed operator  Closed operators with commuting components  The Sfunctional calculus and its properties  The product rule and polynomials in T  The spectral mapping theorem  Spectral sets and projections onto invariant subspaces  The special roles of intrinsic functions and the left multiplication  The Quaternionic Evolution Operator  Uniformly continuous quaternionic semigroups  Strongly continuous quaternionic semigroups  Strongly continuous groups  Perturbations of the generator of a group  A series expansion of the Sresolvent operator  The class of operators A(T) and some properties  Perturbation of the generator  Comparison with the complex setting  An application  The Phillips functional calculus  Preliminaries on quaternionic measure theory  Functions of the generator of a strongly continuous group  Comparison with the SFunctional Calculus  The Inversion of the Operator f(T)  The ... Functional Calculus  The Sfunctional calculus for sectorial operators  The ... functional calculus  The composition rule  Extensions according to spectral conditions  The spectral mapping theorem  Fractional powers of quaternionic linear operators  A direct approach to fractional powers of negative exponent  Fractional powers via the ... functional calculus  Fractional powers with negative real part  Kato's Formula for the SResolvents  The fractional heat equation using quaternionic techniques  Spectral properties of the Nabla operator  A relation with the fractional heat equation  An example with nonconstant coefficients  Applications to fractional diffusion  New fractional diffusion problems  The Sspectrum approach to fractional diffusion processes  Fractional Fourier's law in a Hilbert space  Concluding Remarks  Historical notes and References  Theory of slice hyperholomorphic functions  Spectral theory on the Sspectrum  The monographs on operators and functions  Appendix : Principles of functional Analysis  Bibliography  Index 
Subject 
Closed operators


Fractional powers


Quaternions

Alt Author 
Gantner, Jonathan, author

