Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces
DOI10.1007/s00020-023-02738-3MaRDI QIDQ6051261
Publication date: 19 October 2023
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Laplace transformPaley-Wiener theoremshift-invariant operatorinterpolation spacemultiplier theoremWiener-Hopf integral operatorBessel potential spacefractional-order Sobolev spaceinput-output operatormathematical systems and control theory
Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Operator-theoretic methods (93B28) Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Laplace transform (44A10) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
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