scientific article

zbMath0594.94001MaRDI QIDQ3725991

Walter Johannes Schempp

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

signal detectiongrouposcillator representationmetaplectic groupCAGDtheta-identitiesradar auto-ambiguity functionssymplectic time-frequency planeradar synthesiscoaxial optical systemsMaslov-Souriau indexenergy preserving automorphismsharmonic analysis on the real Heisenberg two-step nilpotent Lieharmonic analysis on the real Heisenberg two-step nilpotent Lie groupidentity for Laguerre functionsinvariance problem for radar ambiguity surfaces over theinvariance problem for radar ambiguity surfaces over the symplectic time-frequency planephase anomaly of Fourier and microwave optics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Detection theory in information and communication theory (94A13) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Foundations in optics and electromagnetic theory (78A02)

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