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Full-Text Articles in Physical Sciences and Mathematics
Interpolation And Complex Symmetry, Stephan Ramon Garcia, Mihai Putinar
Interpolation And Complex Symmetry, Stephan Ramon Garcia, Mihai Putinar
Pomona Faculty Publications and Research
In a separable complex Hilbert space endowed with an isometric conjugate-linear involution, we study sequences orthonormal with respect to an associated bilinear form. Properties of such sequences are measured by a positive, possibly unbounded angle operator which is formally orthogonal as a matrix. Although developed in an abstract setting, this framework is relevant to a variety of eigenvector interpolation problems arising in function theory and in the study of differential operators.