Semigroups, invariance and time-invariant linear systems

de Mma Michiel Rijcke · TU/e Research Portal · 1996

Closed translation-invariant subspaces of 'D_(JR.).. 3;3 The space E(JR.+)ail.d the convoltttion product on E 1 (JR+) CoNTENTS 4 Translation invariant subspaces of distributions SS 4.0 Translation invariant subspaces of 'D~(JR.) . . . . . . . . . . . . . . . .4.0.1 Transiatabie strict LF-spaces of 'D+(JR.)-type . . . . . . . . . . .8fi 4.0.2Transiatabie strict LF-spaces of'D.t(JR.)-typeas 'D+(JR.)-completions88 4.0.3Closed, (ut)telR.-invariant subspaces and operators on transiatabie strict LF-spaces of 'D+(JR.)-type . . . . . .4.0.4Continuous, linear, (ut)telR.-invariant operators.4.1 Translation invariant subspaces of 'D 1 (1R.) . . . . . . . .4.1.1Transiatabie F-spaces of E(JR.)-type . . . . . . .4.1.2Transiatabie F-spaces of E(JR.)-type as E(JR.)-completions4.1.3 .Closed (ut)telR.-invariant subspaces and operators on transiatabie F-spaces of E(JR.)-type. . . . . . . . . . .4.1.4Continuous linear (ut)telR.-invariant operators 4.2.Translation invariant subspaces of E 1 (JR.) . . . . . . .4.2.1 Transiatabie strict LF-spaces of 'D(JR.)-type. .4.2.2Transiatabie strict LF-spaces of 'D(JR.)-typeas 'D(JR.)-completions4.2.3 • Closed, (ut)tElR..:.invariant operators on transiatabie strict LFspaces of 'D(JR)-type . . . . . . . . . .

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