The Szegö kernel on a class of non-compact CR manifolds of high codimension |
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| Authors: | Andrew Raich Michael Tinker |
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| Institution: | Department of Mathematical Sciences, 1 University of Arkansas, SCEN 309, Fayetteville, AR 72701, USA. |
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| Abstract: | We generalize Nagel’s formula for the Szegö kernel and use it to compute the Szegö kernel on a class of non-compact CR manifolds whose tangent space decomposes into one complex direction and several totally real directions. We also discuss the control metric on these manifolds and relate it to the size of the Szegö kernel. |
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| Keywords: | Szegö kernel high codimension control metric polynomial model |
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