Generalizations of the Fourier transform and their applications

In this thesis, we consider a new generalization of the Fourier transform, depending on four complex parameters and all the powers of the Fourier transform. This new transform is studied in some Lebesgue spaces. In fact, taking into account the values of the parameters of the operator, we can have v...

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Detalhes bibliográficos
Autor principal: Guerra, Rita Catarina Correia (author)
Formato: doctoralThesis
Idioma:eng
Publicado em: 2020
Assuntos:
Fourier transform
Fractional Fourier transform
Linear canonical transform
Quadratic Fourier transform
Convolution
Invertibility
Spectrum
Unitary property
Involution
Integral equation
Parseval identity
Wiener theorem
Tauberian theory
Heisenberg uncertainty principle
Filtering
Fourier series
Hermite function
Texto completo:http://hdl.handle.net/10773/29813
País:Portugal
Oai:oai:ria.ua.pt:10773/29813

Texto Completo

http://hdl.handle.net/10773/29813

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