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Multiple Hilbert transforms associated with polynomials / Joonil Kim.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 237, no 1119.Publication details: Providence : American Mathematical Society, 2015.Description: v, 120 p. : illustrations ; 26 cmISBN:
  • 9781470414351 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction -- 2. Definitions of Polyhedra, their faces and cones -- 3. Main theorem and background -- 4. Combinatorial Lemmas -- 5. Descending faces vs. ascending cones -- 6. Preliminary results of analysis -- 7. Proof of sufficiency -- 8. Necessity theorem -- 9. Preliminary Lemmas for necessity proof --- 10. Proof of necessity -- 11.Proofs of corollary 3.1 and main theorem 3.1 -- 12. Appendix -- Bibliography.
Summary: 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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Includes bibliographical references.

1. Introduction --
2. Definitions of Polyhedra, their faces and cones --
3. Main theorem and background --
4. Combinatorial Lemmas --
5. Descending faces vs. ascending cones --
6. Preliminary results of analysis --
7. Proof of sufficiency --
8. Necessity theorem --
9. Preliminary Lemmas for necessity proof ---
10. Proof of necessity --
11.Proofs of corollary 3.1 and main theorem 3.1 --
12. Appendix --
Bibliography.

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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