| Series |
Graduate studies in mathematics, 1065-7339 ; 224
Graduate studies in mathematics ; v. 224. ^A347883
|
| Contents |
Part 1. Harmonic analytic preliminaries -- Tools -- On oscillation and convergence -- The linear theory -- Part 2. Discrete analogues in harmonic analysis : Radon transforms, I -- Bourgain's maximal functions on ℓ2(Z) -- Random pointwise ergodic theory -- An application to discrete Ramsey theory -- Bourgain's ℓ(Z)=argument, revisited -- Part 3. Discrete analogues in harmonic analysis: Radon transforms, II -- Ionescu-Wainger theory -- Establishing Ionescu-Wainger theory -- The spherical maximal function -- The lacunary spherical maximal function -- Part 4. Discrete improving inequalities -- Discrete analogues in harmonic analysis : Maximally modulated singular integrals -- Monomial "Carleson" operators -- Maximally modulated singular integrals : A theorem of Stein and Wainger -- Part 5. Discrete analogues in harmonic analysis : An introduction to multilinear theory -- Bilinear considerations -- Arithmetic Sobolev estimates: examples -- Part 6. Conclusion and appendices -- Further directions -- Remembering my collaboration with Stein and Bourgain-M. Mirek -- Appendix A. Introduction to additive combinatorics -- Appendix B. Oscillatory integrals and exponential sums. |
| Bibliography note | Includes bibliographical references (pages 547-556) and index. |
| Issued in other form | Online version: Krause, Ben, 1988- Discrete analogues in harmonic analysis. Providence, Rhode Island : American Mathematical Society, [2022] 9781470471750 |
| LCCN | 2022024899 |
| ISBN | 9781470468576 hardcover |
| ISBN | 1470468573 hardcover |
| ISBN | 9781470471743 paperback |
| ISBN | 1470471744 paperback |
| ISBN | electronic book |
