16 research outputs found

    Convolution equations in spaces of distributions with one-sided bounded support

    No full text
    Let D’’ (0, ¥)be the space of distributions on R with support in [0, ¥) and l\u27(0, ¥) its subspace consisting of tempered distributions. We characterize the distributions S Î D\u27(0, ¥) for which SD\u27(0, ¥) = D\u27(0, ¥), where is the convolution. We also characterize the distributions S Î S l\u27(0, ¥) for which S l’(0, ¥) = l\u27(0, ¥). © 1985 American Mathematical Society
    corecore