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Sur Les Formules D'Inversion de Fourier et de Hankel
Author(s) -
Plancherel M.
Publication year - 1934
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s2-36.1.554-s
Subject(s) - mathematics , inversion (geology) , fourier transform , hankel transform , combinatorics , mathematical analysis , pure mathematics , paleontology , structural basin , biology
P. 67, line 4. For “ integrates ” read “ intdgrables ”. P. 70. In each factor on the right‐hand side of the last formula, for “ξ v ” read “ξ v +½”, so that the formula reads∫ 0 x ( ζ v + 1 2e ‐ a 3 ζ 3 ) ( ζ v + 1 2e ‐ β 2 ζ 2) d ζ = 1( 2 a 2 . 2 β 2 ) v + 1∫ 0 ∞ ( ζ v + 1 2e ‐ ( ζ 2 / 4 u 2) ( ζ v + 1 2e ‐ ( ζ 2 / 4 β 2 )) d ζ