Abstract
In the present paper we give a refinement of a classical result by Karhunen concerning spectral representations of second-order random fields. We also investigate some related questions dealing with moment problems and quadrature formulae.S ome of these questions are closely related to Heinz Langer’s work.
Mathematics Subject Classification (2000). Primary 60G12, 42A70, 44A60, 65D32; Secondary 42A82, 60G10.
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Dedicated to Heinz Langer on the occasion of his 75th birthday
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Berschneider, G., Sasvári, Z. (2012). On a Theorem of Karhunen and Related Moment Problems and Quadrature Formulae. In: Arendt, W., Ball, J., Behrndt, J., Förster, KH., Mehrmann, V., Trunk, C. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Operator Theory: Advances and Applications, vol 221. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0297-0_10
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DOI: https://doi.org/10.1007/978-3-0348-0297-0_10
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