Gap Formulae for the Weierstrass Transforms
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 249-254
Voir la notice de l'article provenant de la source Cambridge University Press
A gap formula for a transform (1) is an operator J on f(x) (2) Such operators are known for Laplace transform [1; p.91] and [4; pp. 296–299], Stieltjes transform [4; pp. 351–353], a class of convolution transforms [2] and others. Gap formulae for the Weierstrass transform (3) and the Weierstrass-Stieltjes transform (4) will be proved in the following two theorems.
Ditzian, Z. Gap Formulae for the Weierstrass Transforms. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 249-254. doi: 10.4153/CMB-1968-029-9
@article{10_4153_CMB_1968_029_9,
author = {Ditzian, Z.},
title = {Gap {Formulae} for the {Weierstrass} {Transforms}},
journal = {Canadian mathematical bulletin},
pages = {249--254},
year = {1968},
volume = {11},
number = {2},
doi = {10.4153/CMB-1968-029-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-029-9/}
}
[1] 1. Ditzian, Z. and Jakimovski, A., Real inversion and jump formulae for the Laplace transform (Part I), Israel Jour, of Math. 1 (1963) 85-104. Google Scholar
[2] 2. Ditzian, Z., A complex jump formula for a class of convolution transforms. Illinois Jour, of Math. (1967) 375-388, Google Scholar
[3] 3. Hirschman, I.I. and Widder, D.V., The convolution transform. (Princeton Univ. Press, 1955). Google Scholar
[4] 4. Widder, D.V., The Laplace transform. (Princeton Univ. Press, 1946). Google Scholar
Cité par Sources :