Algebraic characterization of convolution and multiplication operators on Hankel-transformable function and distribution spaces

DOI10.1216/rmjm/1181072140zbMath0853.46034OpenAlexW2046264585MaRDI QIDQ1915714

Isabel Marrero, Jorge J. Betancor

Publication date: 5 January 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072140

zbMATH Keywords

convolution operatorsHankel translationsHankel convolutons

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Related Items (7)

Hankel transformation of Colombeau type tempered generalized functions ⋮ The Bessel wavelet transform of distributions in βμ′-space ⋮ CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+) ⋮ On Hankel convolutors on certain Hankel transformable function spaces ⋮ Continuous Bessel wavelet transform of distributions ⋮ On Hankel convolution equations in distribution spaces ⋮ Hankel convolution operators on entire functions and distributions

Cites Work

• Variation diminishing Hankel transforms
• Algebraic characterization of distributions of rapid growth
• On the topology of the space of Hankel convolution operators
• On the topology of Hankel multipliers and of Hankel convolution operators
• Some Properties of Hankel Convolution Operators
• The Hankel Convolution and the Zemanian Spaces β_μ and β'_μ
• Integral Equations Associated with Hankel Convolutions
• A Hankel convolution complex inversion theory
• The Hankel Transformation of Certain Distributions of Rapid Growth
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