Geodesic
Wiener–Hopf equations in a quadrant of the plane, discrete groups, and automorphic functions
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 491-516 Cet article a éte moissonné depuis la source Math-Net.Ru

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Operators $A(l_1(Z_2^{++})\to l_1(Z_2^{++}))$ of the form $(A\xi)(x)=\sum_{K\in Z_2^{++}}a(x-k)\xi(k)$, where $a\in l_1(Z_2)$ and $Z_2$ ($Z_2^{++}$) is the set of planar points with integral (nonnegative) coordinates, are considered. Basic results of the paper: invertibility of the operator $A$ is proved, and an analysis is made of analytic properties of the symbol $F\xi$ of the solution of the equation $A\xi=\eta$. Figures: 4. Bibliography: 16 titles. 
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V. A. Malyshev. Wiener–Hopf equations in a quadrant of the plane, discrete groups, and automorphic functions. Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 491-516. http://geodesic.mathdoc.fr/item/SM_1971_13_4_a0/

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