Geodesic
Gap Formulae for the Weierstrass Transforms
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 249-254

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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
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     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/}
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