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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 34))

Abstract

If μ, is a positive Borel measure with infinite support on the unit circle T in the complex plane C, then the Gram-Schmidt process applied in L 2(μ) to the sequence of polynomials 1, z, z 2,..., yields an orthonormal sequence of polynomials in L 2(μ).

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© 1988 Springer Basel AG

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Atzmon, A. (1988). n-Orthonormal Operator Polynomials. In: Gohberg, I. (eds) Orthogonal Matrix-valued Polynomials and Applications. Operator Theory: Advances and Applications, vol 34. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5472-6_3

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  • DOI: https://doi.org/10.1007/978-3-0348-5472-6_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5474-0

  • Online ISBN: 978-3-0348-5472-6

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