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2iTTn algebra for convolution Banach algebra Banach space bounded sequence Cauchy sequence cn(f cn(g complex numbers computation conjugate exponents continuity of f continuous form continuous function continuous linear form continuous linear operator convolution algebra defines a linear definition denote Dirac measure distribution of order distribution theory dual space element ends the proof example exists f and g finite following inequality Fourier coefficients Fourier series function defined function f functional equation harmonic analysis homogeneous Banach space homogeneous space Ineq J.G. DHOMBRES Lemma Let f let us consider linear and continuous linear space llfll Moreover multiplicative normed space Note obtained operator of type periodic continuous properties Proposition prove quadratic norm Radon measure real numbers References for Chapter regular kernel result Reynolds operator scalar product sequence f stationary linear operators stationary operators subset suppose topological embedding torus type D(a uniform norm uniqueness theorem zero