Unbounded functional calculus for bounded groups with applications
From MaRDI portal
Publication:423344
DOI10.1007/s00028-009-0012-zzbMath1239.47013OpenAlexW2149054274WikidataQ60580297 ScholiaQ60580297MaRDI QIDQ423344
Mihály Kovács, Markus Haase, Boris Baeumer
Publication date: 2 June 2012
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-009-0012-z
fractional derivativesfractional powerssubordinationstable lawsfractional calculusfunctional calculusoperational calculus
Fractional derivatives and integrals (26A33) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)
Related Items (10)
Reflected spectrally negative stable processes and their governing equations ⋮ Mixing-driven equilibrium reactions in multidimensional fractional advection-dispersion systems ⋮ Operator calculus on the class of Sato’s hyperfunctions ⋮ Fractional partial differential equations with boundary conditions ⋮ Introducing and solving generalized Black-Scholes PDEs through the use of functional calculus ⋮ Generalized Hille-Phillips type functional calculus for multiparameter semigroups ⋮ Gaussian diffusion interrupted by Lévy walk ⋮ Higher order Grünwald approximations of fractional derivatives and fractional powers of operators ⋮ A higher order resolvent-positive finite difference approximation for fractional derivatives on bounded domains ⋮ Monte Carlo method for fractional-order differentiation
Cites Work
- Fractional kinetic equation for Hamiltonian chaos
- Semigroups of linear operators and applications to partial differential equations
- Waiting-times and returns in high-frequency financial data: An empirical study
- Finite difference approximations for fractional advection-dispersion flow equations
- Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
- Functional calculus for groups and applications to evolution equations
- \(H^\infty\)-calculus for products of non-commuting operators
- On the generation of semigroups of linear operators
- Stochastic solution of space-time fractional diffusion equations
- An Operational Calculus for Infinitesimal Generators of Semigroups
- On Subordinated Holomorphic Semigroups
- An Approach to Fractional Powers of Operators via Fractional Differences
- One-Parameter Semigroups for Linear Evolution Equations
- Fractional kinetic equations: solutions and applications
- Fractional Splines and Wavelets
- A GENERAL FRAMEWORK FOR HOLOMORPHIC FUNCTIONAL CALCULI
- Some Remarks on Infinitesimal Generators of Analytic Semigroups
- Diffusion Equation and Stochastic Processes
- Stochastic processes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Unbounded functional calculus for bounded groups with applications
