On a Solution of the Multidimensional Truncated Matrix-Valued Moment Problem
On a Solution of the Multidimensional Truncated Matrix-Valued Moment Problem
Abstract We will consider the multidimensional truncated $$p \times p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>×</mml:mo> <mml:mi>p</mml:mi> </mml:mrow> </mml:math> Hermitian matrix-valued moment problem. We will prove a characterisation of truncated $$p \times p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>×</mml:mo> <mml:mi>p</mml:mi> </mml:mrow> </mml:math> Hermitian matrix-valued multisequence with a minimal positive semidefinite matrix-valued representing …