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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Bibliographic Details
Main Author: Guerra, Rita Catarina Correia (author)
Format: doctoralThesis
Language:eng
Published: 2020
Subjects:
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
Online Access:http://hdl.handle.net/10773/29813
Country:Portugal
Oai:oai:ria.ua.pt:10773/29813

Internet

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

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