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Interlineation of functions of two variables on M(M>-2) lines preserving the class Cr(R2)
Authors:O N Litvin
Institution:1. Ukrainian Correspondence Polytechnical Institute, USSR
Abstract:An algorithm for constructing the operator OMn({phivkx}; x, y) with the properties

$$\begin{gathered}  O_{Mn} (\{ \varphi _{ks} \} ;x,y) \in C^r (R^2 \backslash G),  G = \{ \Gamma _k  \cap \Gamma _l ;k, l = 1, M;k \ne l\} , r > n, \hfill \\            \frac{{\partial ^n O_{Mn} (\{ \varphi _{ks} \} ;x,y)}}{{\partial v_a^p }}|_{\Gamma _a }  = \varphi _{ap} (x,y)|_{\Gamma _Q '}  q = \overline {1, M} ;  p = \overline {0, n,}  \hfill \\ \end{gathered} $$
Keywords:
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