The shift operators related to the Fourier cosine and sine transforms and visualization of their action
L. E. Britvina
Abstract
Open-access reader
L. E. Britvina
Abstract
Open-access reader
Abstract 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.
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Abstract 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.
Key concepts: Sine and cosine transforms, Sine, Trigonometric functions, Fourier sine and cosine series, Operator (biology), Fourier transform, Operator theory, Visualization