An application of hyperdifferential operators to holomorphic quantization

DOI10.1007/BF00398498zbMath0446.35082MaRDI QIDQ1145832

Ingrid Daubechies

Publication date: 1978

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

selfadjointnessHilbert space operatorholomorphic quantizationhyperdifferential operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• Parity operator and quantization of \(\delta\)-functions
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• The \(C^ *\)-algebras of a free Boson field
• Applications of hyperdifferential operators to quantum mechanics
• On a Hilbert space of analytic functions and an associated integral transform part I
• Probability measures on fuzzy events in phase space
• Systems of imprimitivity and representations of quantum mechanics on fuzzy phase spaces
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory

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