On the concept of point value in the infinite-dimensional realization theory

DOI10.1016/J.JMAA.2004.06.027zbMath1083.93007OpenAlexW2067262214MaRDI QIDQ1765786

Eero Immonen

Publication date: 23 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.027

zbMATH Keywords

extensionsFourier seriesregulatorGibbs phenomenonLaplace transformationperiodic signalrealizationinfinite-dimensional linear systempoint evaluationobservation operatorsummability theory\(\delta\)-sequenceinitial value theoremperiodic singular distribution

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Realizations from input-output data (93B15) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

Function generators, the operator equation \(\Pi S=A\Pi +BQ\) and inherited dynamics in inhomogeneous Cauchy problems

Cites Work

• Fourier and wavelet analysis
• Sur la valeur et la limite d'une distribution en un point
• Transfer functions of regular linear systems Part II: The system operator and the Lax–Phillips semigroup
• Characterization of the Fourier series of a distribution having a value at a point
• Output regulation of periodic signals for DPS: an infinite-dimensional signal Generator
• Fourier Series and Analytic Representation of Distributions
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