Generalized Functions, Volum 2

A₁ analogous axiom of countability b₁ belongs borhood bounded set bounded support C₁ Chapter compact support complete countably normed condition conjugate space constant continuous function continuous linear functional converge uniformly converges to zero convolution countably normed space defined definition derivatives domain G element entire analytic function entire function exp(a finite formula Fourier operator Fourier transform function f(x functional ƒ functions of bounded fundamental function fundamental space Hence infinitely differentiable functions initial topology integral Lemma Let us consider Let us show linear operator linear topological space M₂(x multiplication neighborhood of zero nontrivial obtain order of growth perfect space polynomial Proof proved satisfying the inequalities SB.B Section space K(a space K{M space Ø space SB space SB,B spaces of type strong topology strongly bounded sufficient system of norms tends to zero theorem virtue