Generalized Fourier transform for the Camassa–Holm hierarchy

2007 ◽  
Vol 23 (4) ◽  
pp. 1565-1597 ◽  
Author(s):  
Adrian Constantin ◽  
Vladimir S Gerdjikov ◽  
Rossen I Ivanov
Keyword(s):  
Fourier Transform ◽  
Generalized Fourier Transform

scholarly journals A generalized Fourier transform approach to risk measures

2010 ◽  
Vol 2010 (01) ◽  
pp. P01005 ◽  
Author(s):  
Giacomo Bormetti ◽  
Valentina Cazzola ◽  
Giacomo Livan ◽  
Guido Montagna ◽  
Oreste Nicrosini
Keyword(s):  
Fourier Transform ◽  
Risk Measures ◽  
Generalized Fourier Transform

Generalized Fourier Transform for Non-Uniform Sampled Data

2011 ◽  
pp. 79-124 ◽  
Author(s):  
Krzysztof Kazimierczuk ◽  
Maria Misiak ◽  
Jan Stanek ◽  
Anna Zawadzka-Kazimierczuk ◽  
Wiktor Koźmiński
Keyword(s):  
Fourier Transform ◽  
Generalized Fourier Transform ◽  
Sampled Data

Uncertainty principle related to Flensted–Jensen partial differential operators

2019 ◽  
pp. 2150004
Author(s):  
Raoudha Laffi ◽  
Selma Negzaoui
Keyword(s):  
Fourier Transform ◽  
Uncertainty Principle ◽  
Differential Operators ◽  
Generalized Fourier Transform ◽  
Partial Differential ◽  
Hardy’S Theorem ◽  
Partial Differential Operators ◽  
Hörmander's Theorem

This paper deals with some formulations of the uncertainty principle associated to generalized Fourier transform [Formula: see text] related to Flensted–Jensen partial differential operators. The aim result is to prove the analogue of Bonami–Demange–Jaming’s theorem : A version of Beurling–Hörmander’s theorem which gives more precision in the form of nonzero functions verifying modified-Beurling’s condition. As application, we get analogous of Gelfand–Schilov’s theorem, Cowling–Price’s theorem and Hardy’s theorem for [Formula: see text].

RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES

1991 ◽  
Vol 06 (24) ◽  
pp. 4359-4374 ◽  
Author(s):  
SHAHN MAJID
Keyword(s):  
Fourier Transform ◽  
Quantum Group ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Generalized Fourier Transform ◽  
Conformal Field ◽  
Reconstruction Theorem

We obtain an explicit reconstruction theorem for rational conformal field theories and other situations where we are presented with a braided or quasitensor category [Formula: see text]. It takes the form of a generalized Fourier transform. The reconstructed object turns out to be a quantum group in a generalized sense. Our results include both the Tannaka-Krein case where there is a functor [Formula: see text], and the case where there is no functor at all.

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