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2008•OUKA (Osaka University Knowledge Archive) (Osaka University)Open access

CONSTRUCTIVE AND INVESTIGATE THE GENERALIZED CONVOLUTION WITH THE WEIGHT FUNCTION FOR THE FOURIER COSINE AND SINE TRANSFORMS

Xuan Thao Nguyen, Thanh H. Nguyen

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Abstract

A generalized convolution with the weight function for the Fourier cosine and sine transforms is introduced.It's properties and applications to solve systems of integral equations are considered.

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What this paper is about

A generalized convolution with the weight function for the Fourier cosine and sine transforms is introduced.It's properties and applications to solve systems of integral equations are considered.

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Available abstract

A generalized convolution with the weight function for the Fourier cosine and sine transforms is introduced.It's properties and applications to solve systems of integral equations are considered.

Key concepts: Sine, Sine and cosine transforms, Fourier sine and cosine series, Convolution (computer science), Mathematics, Trigonometric functions, Constructive, Fourier transform

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CONSTRUCTIVE AND INVESTIGATE THE GENERALIZED CONVOLUTION WITH THE WEIGHT FUNCTION FOR THE FOURIER COSINE AND SINE TRANSFORMS — Research Paper | ScholarLens