Open AccessThe shift operators related to the Fourier cosine and sine transforms and visualization of their action
Author(s) -
L. E. Britvina
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1658/1/012006
Subject(s) - sine and cosine transforms , sine , trigonometric functions , fourier sine and cosine series , operator (biology) , fourier transform , operator theory , visualization , mathematics , action (physics) , discrete cosine transform , shift operator , fourier series , mathematical analysis , fourier analysis , algebra over a field , computer science , pure mathematics , compact operator , computer vision , fractional fourier transform , geometry , image (mathematics) , physics , artificial intelligence , repressor , chemistry , biochemistry , quantum mechanics , transcription factor , programming language , extension (predicate logic) , gene
We consider the shift operators generalized by the convolutions for the Fourier cosine and sine transforms. Three out of four considered operators are not the generalized shift operator of the Levitan’s type. The basic properties of the shift operators are presented. The GeoGebra applets have been created to visualize the actions of the shift operators.