IJPAM: Volume 105, No. 2 (2015)

THE FOURIER TRANSFORM OF P+λ and P-λ

Manuel A. Aguirre1, Emilio Aguirre Rèbora2
1,2Núcleo Consolidado de
Matemática Pura y Aplicada
Facultad de Ciencias Exactas
Universidad Nacional del Centro
Buenos Aires, ARGENTINA


Abstract. We know from [5], p. 284 that the Fourier transform of P+λ and P-λ are given by the formulae (4) and (5) respectively. In this article using another method we obtain the Fourier transform of P+λ and P-λ, where P=P(x) is defined by (1), P+λ by (8) and P-λ by (9). We prove that our formulae (44) and (82) are equivalent to formulae (4) and (5), respectively.

Received: September 25, 2015

AMS Subject Classification: 46F10, 43A32

Key Words and Phrases: distributions, Fourier transform, ultrahyperbolic kernel

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DOI: 10.12732/ijpam.v105i2.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 2
Pages: 269 - 280


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