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Extensions of the 𝑣-integral

Extensions of the 𝑣-integral

In <italic>Representations for transformations continuous in the BV norm</italic> [J. R. Edwards and S. G. Wayment, Trans. Amer. Math. Soc. <bold>154</bold> (1971), 251-265] the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="nu"> <mml:semantics> <mml:mi>ν<!-- ν --></mml:mi> <mml:annotation encoding="application/x-tex">\nu</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-integral is defined over intervals in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E Superscript …