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The paper investigates multivariate Wavelet Haar's series. To study on the correctness is made by means of Tikhonov's method. A theorem on stability and uniform convergence of a regularized summable function of the wavelet-Haar's series functions in Lipschitz class with approximate coefficients is proved. An experiment confirms the validity of Tikhonov's method using space monitoring of waste disposal facilities is conducted as an example. Namely, the decoding of space images-images usingdoi:10.2298/sjee1703343k fatcat:l7zwivx2uvh4hm4cmzasjj5hra