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Regularization of integral equations in spaces of distributions

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Publication:1429023
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DOI10.1216/jiea/1181074969zbMath1041.45004OpenAlexW2072964302MaRDI QIDQ1429023

Ricardo Estrada

Publication date: 29 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074969


zbMATH Keywords

distributionintegral equationregularizationHilbert transformoperator of fractional integrationCarleman operatorgeneralized Abel operator


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)


Related Items (1)

Regularization of hyperfunctions



Cites Work

  • The nonexistence of regularization operators.
  • Systems of Generalized Abel Equations
  • Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations
  • The asymptotic expansion of certain series considered by ramanujan
  • Distributions and singular integral equations of carleman type
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