Convolution Fourier Sine Transform Fourier Cosine Transform Toeplitz Plus Hankel Integral Equation Plancherel Theorem 44A05 44A35
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 11, No 2, (2008), 153p-174p
With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using
generalized convolutions a class of Toeplitz plus Hankel integral equations,
and also a system of integro-differential equations are solved in closed form.