Research on sine and cosine transform of broad sense Fourier

By defining the generalized cosine,sine transform and using the pairity of function,the corresponding relations between the generalized cosine,sine transform and the generalized Fourier transform under full time domain are discussed,as well as the symmetry of the generalized cosine and sine transform.Meanwhile on the basis of research on the shielded effect of unit step function in generalized Fourier transform,the crossing and corresponding relations between the impulse function and common function under the half-shielded principle,the generalized cosine and sine transform are explored.The regularity conclusions of inter-restriction relations between them are obtained.