| Softcover ISBN: | 978-0-8218-3920-1 |
| Product Code: | CONM/411 |
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| eBook ISBN: | 978-0-8218-8074-6 |
| Product Code: | CONM/411.E |
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| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-3920-1 |
| eBook: ISBN: | 978-0-8218-8074-6 |
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| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-0-8218-3920-1 |
| Product Code: | CONM/411 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-8074-6 |
| Product Code: | CONM/411.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-3920-1 |
| eBook ISBN: | 978-0-8218-8074-6 |
| Product Code: | CONM/411.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
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Book DetailsContemporary MathematicsVolume: 411; 2006; 147 ppMSC: Primary 26; 32; 35; 42; 76
Starting in the early 1950's, Alberto Calderón, Antoni Zygmund, and their students developed a program in harmonic analysis with far-reaching consequences. The title of these proceedings reflects this broad reach. This book came out of a DePaul University conference honoring Stephen Vági upon his retirement in 2002. Vági was a student of Calderón in the 1960's, when Calderón and Zygmund were at their peak.
Two authors, Kenig and Gatto, were students of Calderón; one, Muckenhoupt, was a student of Zygmund. Two others studied under Zygmund's student Elias Stein. The remaining authors all have close connections with the Calderón–Zygmund school of analysis.
This book should interest specialists in harmonic analysis and those curious to see it applied to partial differential equations and ergodic theory.
In the first article, Adam Korányi summarizes Vági's work. Four additional articles cover various recent developments in harmonic analysis: Eduardo Gatto studies spaces with doubling and non-doubling measures; Cora Sadosky, product spaces; Benjamin Muckenhoupt, Laguerre expansions; and Roger Jones, singular integrals. Charles Fefferman and Carlos Kenig present applications to partial differential equations and Stephen Wainger gives an application to ergodic theory. The final article records some interesting open questions from a problem session that concluded the conference.
ReadershipGraduate students and research mathematicians interested in harmonic analysis.
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Table of Contents
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Articles
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Adam Korányi — The work of Stephen Vági [ MR 2246638 ]
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A. Eduardo Gatto — On fractional calculus associated to doubling and non-doubling measures [ MR 2246639 ]
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Charles Fefferman — Fluids and singular integrals [ MR 2246641 ]
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Carlos Kenig — The well-posedness of non-linear dispersive equations: some recent developments [ MR 2254834 ]
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Cora Sadosky — The BMO extended family in product spaces [ MR 2246642 ]
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Benjamin Muckenhoupt — Mean convergence of Cesàro means of Laguerre expansions [ MR 2246643 ]
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Roger L. Jones — Variation inequalities for singular integrals and related operators [ MR 2246644 ]
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Stephen Wainger — A maximal function on the discrete Heisenberg group with applications to ergodic theory [ MR 2246645 ]
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J. Marshall Ash and Roger L. Jones — Problems
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Starting in the early 1950's, Alberto Calderón, Antoni Zygmund, and their students developed a program in harmonic analysis with far-reaching consequences. The title of these proceedings reflects this broad reach. This book came out of a DePaul University conference honoring Stephen Vági upon his retirement in 2002. Vági was a student of Calderón in the 1960's, when Calderón and Zygmund were at their peak.
Two authors, Kenig and Gatto, were students of Calderón; one, Muckenhoupt, was a student of Zygmund. Two others studied under Zygmund's student Elias Stein. The remaining authors all have close connections with the Calderón–Zygmund school of analysis.
This book should interest specialists in harmonic analysis and those curious to see it applied to partial differential equations and ergodic theory.
In the first article, Adam Korányi summarizes Vági's work. Four additional articles cover various recent developments in harmonic analysis: Eduardo Gatto studies spaces with doubling and non-doubling measures; Cora Sadosky, product spaces; Benjamin Muckenhoupt, Laguerre expansions; and Roger Jones, singular integrals. Charles Fefferman and Carlos Kenig present applications to partial differential equations and Stephen Wainger gives an application to ergodic theory. The final article records some interesting open questions from a problem session that concluded the conference.
Graduate students and research mathematicians interested in harmonic analysis.
-
Articles
-
Adam Korányi — The work of Stephen Vági [ MR 2246638 ]
-
A. Eduardo Gatto — On fractional calculus associated to doubling and non-doubling measures [ MR 2246639 ]
-
Charles Fefferman — Fluids and singular integrals [ MR 2246641 ]
-
Carlos Kenig — The well-posedness of non-linear dispersive equations: some recent developments [ MR 2254834 ]
-
Cora Sadosky — The BMO extended family in product spaces [ MR 2246642 ]
-
Benjamin Muckenhoupt — Mean convergence of Cesàro means of Laguerre expansions [ MR 2246643 ]
-
Roger L. Jones — Variation inequalities for singular integrals and related operators [ MR 2246644 ]
-
Stephen Wainger — A maximal function on the discrete Heisenberg group with applications to ergodic theory [ MR 2246645 ]
-
J. Marshall Ash and Roger L. Jones — Problems
