The Integral Cosine Addition and Sine Subtraction Laws
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DOI: 10.1007/s00025-018-0858-x
Abstract: In the present paper we characterize the solutions of each of the integral functional equations $$\begin{aligned}&\int _{G}g(xyt)d\mu (t) =g(x)g(y)-f(x)f(y),\quad x,y\in G, \\&\int _{G}f(x\sigma (y)t)d\mu (t) =f(x)g(y)-f(y)g(x),\quad x,y\in G, \end{aligned}$$∫Gg(xyt)dμ(t)=g(x)g(y)-f(x)f(y),x,y∈G,∫Gf(xσ(y)t)dμ(t)=f(x)g(y)-f(y)g(x),x,y∈G,where G is a locally compact Hausdorff… read more here.
Keywords: addition sine; cosine addition; sine subtraction; integral cosine ... See more keywords