The index of determinacy for measures and the 𝑙²-norm of orthonormal polynomials
The index of determinacy for measures and the 𝑙²-norm of orthonormal polynomials
For determinate measures <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="mu"> <mml:semantics> <mml:mi>μ</mml:mi> <mml:annotation encoding="application/x-tex">\mu</mml:annotation> </mml:semantics> </mml:math> </inline-formula> having moments of every order we define and study an index of determinacy which checks the stability of determinacy under multiplication by even powers of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartAbsoluteValue t minus z EndAbsoluteValue"> <mml:semantics> …