Uludağ, A. Muhammed2016-01-082016-01-081996http://hdl.handle.net/11693/18409Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent Univ., 1996.Thesis(Master's) -- Bilkent University, 1996.Includes bibliographical references leaves 47.We show that the convolution of two probability densities which are restrictions to R of entire functions can possess infinite essential supremuin on each interval. We also present several sufficient conditions of deterioration of smoothness under the operation of convolution.vi, 47 leavesEnglishinfo:eu-repo/semantics/openAccessConvolutionSmoothnessProbability Densityentire funetionQA385 .U49 1996Convolutions(Mathematics).Limit theorems(Probability theory)On possible deterioration of smoothness under the operation of convolutionThesis