Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization

We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real co...

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Guardado en:
Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129646
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.

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