Abstract
As explained above, we are going to study separately the cosine Fourier transform $$ \hat{f}_c (x) = \int^\infty_\mathrm{0} f(t)\, \mathrm{cos}\, xt \, dt$$ and the sine Fourier transform $$ \hat{f}_s (x) = \int^\infty_\mathrm{0} f(t)\, \mathrm{sin}\, xt \, dt,$$ and their integrability properties.
Original language | English |
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Title of host publication | Applied and Numerical Harmonic Analysis |
Publisher | Springer International Publishing |
Pages | 57-83 |
Number of pages | 27 |
DOIs | |
State | Published - 2019 |
Publication series
Name | Applied and Numerical Harmonic Analysis |
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ISSN (Print) | 2296-5009 |
ISSN (Electronic) | 2296-5017 |
Bibliographical note
Publisher Copyright:© 2019, Springer Nature Switzerland AG.