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Recoverability of some classes of analytic functions from their boundary values

Recoverability of some classes of analytic functions from their boundary values

The technique devised by D. J. Patil to recover the functions of the Hardy space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Superscript p Baseline left-parenthesis 1 less-than-or-slanted-equals p less-than-or-slanted-equals normal infinity right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>⩽<!-- ⩽ --></mml:mo> <mml:mi>p</mml:mi> <mml:mo>⩽<!-- ⩽ …