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- W4307730498 abstract "Abstract Given a point w in the open upper complex half-plane $$Pi _{mathord {+}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Π</mml:mi> <mml:mo>+</mml:mo> </mml:msub> </mml:math> , we describe the set of possible values $$F_sigma left( {w}right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>σ</mml:mi> </mml:msub> <mml:mfenced> <mml:mi>w</mml:mi> </mml:mfenced> </mml:mrow> </mml:math> of Stieltjes transforms $$F_sigma left( {z}right) :=int _{[alpha ,infty )}left( {x-z}right) ^{-1}sigma left( {textrm{d}x}right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>σ</mml:mi> </mml:msub> <mml:mfenced> <mml:mi>z</mml:mi> </mml:mfenced> <mml:mo>:</mml:mo> <mml:mo>=</mml:mo> <mml:msub> <mml:mo>∫</mml:mo> <mml:mrow> <mml:mo>[</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msub> <mml:msup> <mml:mfenced> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>-</mml:mo> <mml:mi>z</mml:mi> </mml:mrow> </mml:mfenced> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mi>σ</mml:mi> <mml:mfenced> <mml:mrow> <mml:mtext>d</mml:mtext> <mml:mi>x</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> </mml:math> , $$zin Pi _{mathord {+}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>z</mml:mi> <mml:mo>∈</mml:mo> <mml:msub> <mml:mi>Π</mml:mi> <mml:mo>+</mml:mo> </mml:msub> </mml:mrow> </mml:math> , corresponding to solutions $$sigma $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>σ</mml:mi> </mml:math> to a truncated matricial Stieltjes moment problem as intersection of two matrix balls." @default.
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- W4307730498 date "2022-10-28" @default.
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- W4307730498 title "Weyl Sets in a Truncated Matricial Stieltjes Moment Problem" @default.
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- W4307730498 doi "https://doi.org/10.1007/s11785-022-01283-y" @default.
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