Abstract
The generalized Bochner theorem (GBT), that provides both integral representations for generalized Toeplitz forms in terms of positive matrix measures, and positive extensions of weakly positive ones, is the central result of a theory with many applications to Hankel and Hilbert transform operators.
Author partially supported by grants from the N.S.F. (USA).
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Cotlar, M., Sadosky, C. (1992). Weakly Positive Matrix Measures, Generalized Toeplitz Forms, and their Applications to Hankel and Hilbert Transform Operators. In: Gohberg, I. (eds) Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Operator Theory: Advances and Applications, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8596-6_4
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DOI: https://doi.org/10.1007/978-3-0348-8596-6_4
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