Biomedical subjects
Publications and source records attributed to L A Coburn.
We give a complete characterization of those functions on 2n-dimensional Euclidean space for which the Berezin-Toeplitz quantizations admit a symbol calculus modulo the compact operators. The functions in question are characterized by a condition of "small oscillation at infinity."
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The self-adjoint algebra of operators generated by the semigroup of translation operators acting on the Hilbert space of functions supported on the half-line is studied. A real-valued index is introduced and is used to determine the spectrum of the Wiener-Hopf integral operators with distribution kernel having an almost periodic Fourier transform. Further, the algebra is shown to contain no nonzero compact operators, and the quotient of the algebra by its commutator ideal is shown to be isometrically isomorphic to the Banach algebra of almost periodic functions on the line.