Polynomial Convexity: 261 (Progress in Mathematics)

The Theory of Jacobi Forms (Progress in Mathematics)

Polynomial Convexity (Hardcover, 2007 ed.)

Her research concerns function algebras , polynomial convexity , and Tarski's axioms for Euclidean geometry. Kallin attended the University of California, Berkeley as an undergraduate, and graduated with an A. Kallin earned her Ph.

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In the study of complex vector spaces , a set S is said to be polynomially convex if, for every point x outside of S , there exists a polynomial whose complex absolute value at x is greater than at any point of S. This condition generalizes the ordinary notion of a convex set , which can be separated from any point outside the set by a linear function. However, polynomially convex sets do not behave as nicely as convex sets. Kallin studied conditions under which unions of convex balls are polynomially convex, and found an example of three disjoint cubical cylinders whose union is not polynomially convex.

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Bernard , Remarks on projective structures Riemann surfaces and related topics: Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. Comments and reviews What are comments? Showing of 1 reviews. These sets play an important role in the theory of functions of several complex variables, especially The Theory of Jacobi Forms.

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Editorial Reviews. Review. From the reviews: "The style is rigorous, elegant and clear, the exposition is beautiful. The book is an extremely important tool to. Buy Polynomial Convexity (Progress in Mathematics) (No. ) on www.farmersmarketmusic.com ✓ FREE Series: Progress in Mathematics (Book ); Hardcover: pages.

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Polynomial Convexity (Hardcover, 2007 ed.)

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