AN APPROXIMATE HILBERT TRANSFORM AND ITS INVERSION

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概要

• 論文の詳細を見る

• If η > 0 and f is in a certain space of generalized functions, define{F_η }(x) = ‹ {f(t), {{t - x} \over {{{(t - x)}^2} + {η ^2}}}} › .It is shown that\mathop {\lim }\limits<SUB>η → 0 + </SUB> \left( { - {1 \over {{π ^2}}}} \right)P∫<SUB> - ∞ </SUB>^∞ {{{{F_η }(x)dx} \over {x - y}}} = f(y)in the weak distributional sense.

• 東北大学大学院理学研究科数学専攻の論文

著者

• Pandey J.

  Department Of Chemistry University Of Allahabad

• HUGHES EDWARD

  DEPARTMENT OF MATHEMATICS CARLETON UNIVERSITY

• PANDEY J.

  DEPARTMENT OF MATHEMATICS CARLETON UNIVERSITY

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• AN APPROXIMATE HILBERT TRANSFORM AND ITS INVERSION

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