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- CONTENTS 1988 - VOLUME 306 - SECTION I - N° 19
- .......... Page(s) .......... 765
- .......... Page(s) .......... 765
- We characterize explicitly the structure of C*-algebras of a family of two step solvable Lie groups.
- Mandelbrojt's problem of generalized quasianalyticity is to find relation between a sequence A of integers and a sequence Mn such that it exists an infinitely differentiable function f on satisfying
- .......... Page(s) .......... 773
- .......... Page(s) .......... 773
- U is a 2-dimensional bounded domain the boundary of which contains a turning point (or cusp). We study the solution of the Dirichlet problem for the Laplace equation on the domain U when the right hand side is smooth up the boundary of U. We obtain results of regularity and asymptotics. Those results extends some ones by Ibuki [2], Khelif [3], Maz'ya-Plamenevskii [4].
- .......... Page(s) .......... 783
- .......... Page(s) .......... 783
- We give a very general solution to the well known problem of finite number of generalized moments extending Krein results. Starting from a construction linked with maximum entropy method, we use arguments from large deviation theory. For a finite interval valued function on we obtain an extension of the concept of definite positivity of a finite sequence (corresponding to and ).
- Let
be a family of approximations of the process X(t). We give conditions for the number of crossings of to converge to the local time of X(t) after normalization.
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