| Description |
1 online resource (xiv, 201 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 193-197) and index. |
| Summary |
This unique volume contains a selection of more than 80 of Yuval Ne'eman's papers, which represent his huge contribution to a large number of aspects of theoretical physics. The works span more than four decades, from unitary symmetry and quarks to questions of complexity in biological systems and evolution of scientific theories. In keeping with the major role, Ne'eman has played in theoretical physics over the last 40 years, a collaboration of very distinguished scientists enthusiastically took part in this volume. Their commentary supplies a clear framework and background for appreciating Yuval Ne'eman's significant discoveries and pioneering contributions. |
| Access |
Use copy Restrictions unspecified MiAaHDL |
| Reproduction |
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL |
| System Details |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
| Processing Action |
digitized 2010 HathiTrust Digital Library committed to preserve MiAaHDL |
| Contents |
Preface -- 0. Introduction and notation. 0.1. Notational conventions -- 1. Carlson's inequalities. 1.1. Carlson's proof. 1.2. Hardy's proofs. 1.3. An alternate proof. 1.4. Carlson's inequality for finite sums -- 2. Some extensions and complements of Carlson's inequalities. 2.1. Gabriel. 2.2. Levin. 2.3. Caton. 2.4. Bellman. 2.5. Two discrete Carlson by-products. 2.6. Landau and Levin-Stec̮kin. 2.7. Some extensions of the Landau and Levin-Stec̮kin inequalities. 2.8. Proofs. 2.9. Levin-Godunova. 2.10. More about finite sums -- 3. The continuous case. 3.1. Beurling. 3.2. Kjellberg. 3.3. Bellman. 3.4. Sz. Nagy. 3.5. Klefsjö. 3.6. Hu. 3.7. Yang-Fang. 3.8. A continuous Landau type inequality. 3.9. Integrals on bounded intervals -- 4. Levin's theorem -- 5. Some multi-dimensional generalizations and variations. 5.1. Some preliminaries. 5.2. A sharp inequality for cones in [symbol]. 5.3. Some variations on the multi-dimensional theme. 5.4. Some further generalizations -- 6. Some Carlson type inequalities for weighted Lebesgue spaces with general measures. 6.1. The basic case. 6.2. The product measure case -- two factors. 6.3. The general product measure case -- 7. Carlson type inequalities and real interpolation theory. 7.1. Interpolation of normed spaces. 7.2. The real interpolation method. 7.3. Embeddings of real interpolation spaces -- 8. Further connection to interpolation theory, the Peetre [symbol] method. 8.1. Introduction. 8.2. Carlson type inequalities as sharpenings of Jensen's inequality. 8.3. The Peetre interpolation method and interpolation of Orlicz spaces. 8.4. A Carlson type inequality with blocks. 8.5. The Calderón-Lozanovskiǐ construction on Banach lattices -- 9. Related results and applications. 9.1. A generalization of Redheffer. 9.2. Sobolev type embeddings. 9.3. A local Hausdorff-Young inequality. 9.4. Optimal sampling. 9.5. More on interpolation, the Peetre parameter theorem. 9.6. Carlson type inequalities with several factors. 9.7. Reverse Carlson type inequalities. 9.8. Some further possibilities. 9.9. Necessity in the case of a general measure. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Inequalities (Mathematics)
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Inequalities (Mathematics) |
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Interpolation.
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Interpolation. |
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Numerical analysis.
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Numerical analysis. |
| Genre/Form |
Electronic books.
|
| Added Author |
Larsson, Leo, 1972-
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| Other Form: |
Print version: Multiplicative inequalities of Carlson type and interpolation. New Jersey : World Scientific, ©2006 (DLC) 2006042168 |
| ISBN |
9789812774002 (electronic book) |
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9812774009 (electronic book) |
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9789812567086 (alkaline paper) |
|
9812567089 (alkaline paper) |
|
1281919241 |
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9781281919243 |
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9812567089 (alkaline paper) |
|
