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On \(K_ \mu\) and \(I_ \mu\) transforms of generalized functions

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Publication:1193186
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DOI10.1016/0022-247X(92)90066-MzbMath0760.46033MaRDI QIDQ1193186

Javier A. Barrios, Jorge J. Betancor

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

inversion formulaFréchet spacesmodified Bessel functionParseval equation\(I_ \mu\)-transformation\(K_ \mu\)-transformation


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General theory of ordinary differential operators (47E05)


Related Items (1)

On The Meijer Transform In Space



Cites Work

  • On K-transform
  • A Mixed Parseval Equation and the Generalized Hankel Transformations
  • The Hankel Transformation of Certain Distributions of Rapid Growth
  • A DistributionalKTransformation
  • A Solution of a Division Problem Arising from Bessel-Type Differential Equations
  • The Complex Hankel andI-Transformations of Generalized Functions
  • Generalized Laplace integrals
  • Inversion of a Generalized Laplace Integral
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