Gruppentheoretische aspekte der signalübertragung und der kardinalen interpolationssplines I

DOI10.1002/mma.1670050115zbMath0502.43009OpenAlexW1971328163MaRDI QIDQ3967953

Walter Johannes Schempp

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050115

zbMATH Keywords

Zak transformlattice modelcardinal spline interpolationperiodic spline interpolantsBargmann-Fock-Segal modelcross- and autoambiguity functionsfinite Heisenberg nilpotent groupmicroparticle modelreal Heisenberg nilpotent group, canonical commutation relationsWigner phase-space

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Cites Work

• Attenuation factors and nilpotent harmonic analysis
• Hecke's theorem in quadratic reciprocity, finite nilpotent groups and the Cooley-Tukey algorithm
• Abelian harmonic analysis, theta functions and function algebras on a nilmanifold
• Induced representations and a new proof of the imprimitivity theorem
• Sur certains groupes d'opérateurs unitaires
• On the uniqueness of the Heisenberg commutation relations
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Classification and Fourier inversion for parabolic subgroups with square integrable nilradical
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Is computing with the finite Fourier transform pure or applied mathematics?
• Analytic and Entire Vectors for Representations of Lie Groups
• Harmonic Analysis on Nilmanifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item