Multiple Hilbert transforms associated with polynomials
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2015
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| Schriftenreihe: | Memoirs of the American Mathematical Society
1119 = Vol. 237,3 |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Kim, Joonil |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiple Hilbert transforms associated with polynomials |c Joonil Kim |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2015 | |
| 300 | |a V, 120 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 1119 = Vol. 237,3 | |
| 500 | |a "Volume 237, number 1119 (third of 6 numbers), September 2015." | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 1119 = Vol. 237,3 |w (DE-604)BV008000141 |9 1119 | |
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Datensatz im Suchindex
| _version_ | 1804175172916215808 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Definitions of Polyhedra, Their Faces and Cones 5
2.1. Polyhedron 5
2.2. Faces of Polyhedron 7
2.3. A Cone (Dual Face) of Face 8
2.4. Generalized Newton Polyhedron 9
2.5. Basic Decompositions According to Faces and Cones 10
Chapter 3. Main Theorem and Background 13
3.1 Even Sets 13
3.2. Statement of Main Results 14
3.3. Background 17
Chapter 4. Combinatorial Lemmas 23
4.1. Elementary properties of faces and dual faces 23
4.2. Low Dimensional Polyhedron in Rn 24
4.3. Properties of Boundary and Interior of Face 26
4.4. Representations of Faces 27
4.5. Representations of Cones (Dual Faces) 29
4.6. Cone Decompositions 34
4.7. Projective Cone; Boundary Deleted Neighborhood 36
4.8. Representations of Unbounded Faces 40
4.9. Essential Faces 41
4.10. Invariance Property under Isomorphism 43
Chapter 5. Descending Faces vs. Ascending Cones 45
5.1. Construction of Descending Faces and Ascending Cones 46
5.2. Size Control Number 51
Hi
IV
CONTENTS
Chapter 6. Preliminary Results of Analysis 55
6.1. Preliminary Inequalities 55
6.2. Basic IP estimates 56
Chapter 7. Proof of Sufficiency 59
7.1. Statement of Sufficiency Theorem 59
7.2. Main Estimate for Low Rank Case 60
7.3. Proof of Theorem 7.1 62
Chapter 8. Necessity Theorem 71
8.1. Transitivity Rule for Dual Faces 71
8.2. Lemma for Necessity 75
8.3. Necessity Theorem 77
Chapter 9. Prehminary Lemmas for Necessity Proof 81
9.1. Exclusiveness of Odd Sets 81
9.2. Scheme of Necessity Proof 89
Chapter 10. Proof of Necessity 93
10.1. Proof of Lemma 9.2 93
10.2. Proof of Lemma 9.3 97
Chapter 11. Proofs of Corollary 3.1 and Main Theorem 3.1 103
11.1. Proof of Corollary 3.1 103
11.2. Proof of Sufficient Part of Main Theorem 3.1 105
11.3. Proof of Necessity Part of Main Theorem. 3T 108
Chapter 12. Appendix 113
Bibliography
119
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| any_adam_object | 1 |
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| id | DE-604.BV042885908 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:12:04Z |
| institution | BVB |
| isbn | 9781470414351 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028314591 |
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| physical | V, 120 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | American Math. Soc. |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Kim, Joonil Verfasser aut Multiple Hilbert transforms associated with polynomials Joonil Kim Providence, RI American Math. Soc. 2015 V, 120 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 1119 = Vol. 237,3 "Volume 237, number 1119 (third of 6 numbers), September 2015." Memoirs of the American Mathematical Society 1119 = Vol. 237,3 (DE-604)BV008000141 1119 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028314591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kim, Joonil Multiple Hilbert transforms associated with polynomials Memoirs of the American Mathematical Society |
| title | Multiple Hilbert transforms associated with polynomials |
| title_auth | Multiple Hilbert transforms associated with polynomials |
| title_exact_search | Multiple Hilbert transforms associated with polynomials |
| title_full | Multiple Hilbert transforms associated with polynomials Joonil Kim |
| title_fullStr | Multiple Hilbert transforms associated with polynomials Joonil Kim |
| title_full_unstemmed | Multiple Hilbert transforms associated with polynomials Joonil Kim |
| title_short | Multiple Hilbert transforms associated with polynomials |
| title_sort | multiple hilbert transforms associated with polynomials |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028314591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT kimjoonil multiplehilberttransformsassociatedwithpolynomials |