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Vietnam Journal of Mathematics 37:2&3 (2009) 399-417  Recovering a Class of Entire Functions and Application to Heat Equations Dang Duc Trong, Phan Thanh Nam, and Mach Nguyet Minh Abstract.  We consider the problem of recovering a class of entire functions from their values on a set of integer nodes. These results are applied to investigate two problems involving heat equations: the first one is of solving a heat equation without either the initial condition or the final condition, and the second one is of determining the heat source of a backward heat problem. 2000 Mathematics Subject Classification: 30E05, 35K05. Keywords: Interpolation, Fourier transform, heat equation, heat source.

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