Traces of Quantized Canonical Transformations on Submanifolds and Their Applications to Sobolev Problems with Nonlocal Conditions
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The paper presents conditions under which the traces of quantized canonical transformations on a submanifold are themselves quantized canonical transformations. The corresponding result is applied to certain nonlocal Sobolev problems in which the boundary conditions include quantized canonical transformations.
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- 10.A. Savin, E. Schrohe, and B. Sternin, “Elliptic Operators Associated with Groups of Quantized Canonical Transformations,” Bull. Sci. Math. 104 (2019), arXiv:1612.02981.Google Scholar