Multiple Hilbert Transforms Associated with Polynomials

This volume includes definitions of polyhedra, their faces and cones; combinatorial lemmas; descending faces versus ascending cones; preliminary results of analysis; proof of sufficiency; necessity theorem’ preliminary lemmas for necessity proof; proof of necessity; proofs of corollary 3.1 and main theorem 3.1.

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Contents:

Introduction Definitions of polyhedra, their faces and cones Main theorem and background Combinatorial lemmas Descending faces vs. ascending cones Preliminary results of analysis Proof of sufficiency Necessity theorem Preliminary lemmas for necessity proof Proof of necessity Proofs of Corollary 3.1 and main Theorem 3.1 Appendix Bibliography