HARMONIC ANALYSIS OF THE LEBEDEV-STIELTJES INTEGRALS

DOI10.1142/S179355710900025XzbMath1187.44003OpenAlexW1968972339MaRDI QIDQ5320814

Semyon B. Yakubovich

Publication date: 22 July 2009

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179355710900025x

zbMATH Keywords

modified Bessel functionsinversion formulaStieltjes integralsKontorovich-Lebedev transformBohr space

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Classical almost periodic functions, mean periodic functions (42A75) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• Lectures on Fourier Integrals. (AM-42)
• Analog of the Hausdorff–Young theorem for the Lebedev integral