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Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability. - Mathematical Notes (Paperback) by Daryl Geller Details

Many operators meet in several complex variables, such as the famous Liwei operator, are not solvable locally. However, such an operator L can be carefully studied if one can find…

Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability. synopsis

Many operators meet in several complex variables, such as the famous Liwei operator, are not solvable locally. However, such an operator L can be carefully studied if one can find an appropriate relative parameter - a K factor so that LK is essentially orthogonal projection in the L range.

The analysis is much more decisive if the person is able to work in real analytical, rather Of seamless setup. With this motivation, the author develops an analytical account of the Heisenberg group. Features include: Simple and clear formulas for products and joints.

Simple theoretical theorems, similar to elliptical, to find parameters in calculus; stability under analytic analytical transformations. Regularity with respect to the areas of Sobolev and Lipschitz is non-permissive; maintaining local analytical.

Calculus is suitable for doing analysis on completely true CR manifolds pseudoconvex. In this context, the main new application is evidence that Szego projection maintains local analysis, even in the three-dimensional frame.

Relative analytical parameters are also created for the designation of the Kochi-Riemann operator. Originally published in 1990.

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