Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / / ed. by Charles Fefferman, Stephen Wainger, Robert Fefferman.
This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M....
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1995 |
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Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / ed. by Charles Fefferman, Stephen Wainger, Robert Fefferman. Course Book Princeton, NJ : Princeton University Press, [2014] ©1995 1 online resource (396 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 263 Frontmatter -- CONTENTS -- INTRODUCTION -- 1. Selected Theorems by Eli Stein -- 2. Geometric Inequalities in Fourier Analysis -- 3. Representing Measures for Holomorphic Functions on Type 2 Wedges -- 4. Some New Estimates on Oscillatory Integrals -- 5. Dilations Associated to Flat Curves in Rn -- 6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two -- 7. Opérateurs Bilinéaires et Renormalisation -- 8. Numerical Harmonic Analysis -- 9. Some Topics from Harmonic Analysis and Partial Differential Equations -- 10. Function Spaces on Spaces of Homogeneous Type -- 11. The First Nodal Set of a Convex Domain -- 12. On Removable Sets for Sobolev Spaces in the Plane -- 13. Oscillatory Integrals and Non-Linear Dispersive Equations -- 14. Singular Integrals and Fourier Integral Operators -- 15. Counterexamples with Harmonic Gradients in R3 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff.The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space.Originally published in 1995.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Fourier analysis Congresses. MATHEMATICS / Complex Analysis. bisacsh Analytic function. Banach fixed-point theorem. Bessel function. Blaschke product. Boundary value problem. Bounded operator. Cauchy-Riemann equations. Coefficient. Commutative property. Convolution. Degeneracy (mathematics). Differential equation. Differential geometry. Differential operator. Dirichlet problem. Distribution (mathematics). Eigenvalues and eigenvectors. Elias M. Stein. Elliptic integral. Elliptic operator. Equation. Ergodic theory. Error analysis (mathematics). Estimation. Existential quantification. Fourier analysis. Fourier integral operator. Fourier series. Fourier transform. Fundamental matrix (linear differential equation). Fundamental solution. Geometry. Green's function. Haar measure. Hardy space. Hardy-Littlewood maximal function. Harmonic analysis. Harmonic function. Harmonic measure. Hausdorff dimension. Heisenberg group. Hermitian matrix. Hilbert space. Hilbert transform. Holomorphic function. Hopf lemma. Hyperbolic partial differential equation. Integral geometry. Integral transform. Julia set. Korteweg-de Vries equation. Lagrangian (field theory). Lebesgue differentiation theorem. Lebesgue measure. Lie algebra. Linear map. Lipschitz continuity. Lipschitz domain. Mandelbrot set. Martingale (probability theory). Mathematical analysis. Maximal function. Measurable Riemann mapping theorem. Minkowski space. Misiurewicz point. Morera's theorem. Möbius transformation. Nilpotent group. Non-Euclidean geometry. Numerical analysis. Nyquist-Shannon sampling theorem. Ordinary differential equation. Orthonormal basis. Orthonormal frame. Oscillatory integral. Partial differential equation. Plurisubharmonic function. Pseudo-Riemannian manifold. Pseudo-differential operator. Pythagorean theorem. Radon transform. Regularity theorem. Representation theory. Riemannian manifold. Riesz representation theorem. Riesz transform. Schrödinger equation. Schwartz kernel theorem. Sign (mathematics). Simultaneous equations. Singular integral. Sobolev inequality. Sobolev space. Special case. Symmetrization. Theorem. Trigonometric series. Uniqueness theorem. Variable (mathematics). Variational inequality. Beckner, William, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Boggess, Al, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bourgain, Jean, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Carbery, Anthony, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Christ, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Coifman, R. R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dobyinsky, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fefferman, Charles, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fefferman, Charles, editor. edt http://id.loc.gov/vocabulary/relators/edt Fefferman, Robert A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fefferman, Robert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fefferman, Robert, editor. edt http://id.loc.gov/vocabulary/relators/edt Han, Yongsheng, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jerison, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jones, Peter W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kenig, Carlos E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meyer, Y., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nagel, Alexander, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Phong, D. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vance, James, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wainger, Stephen, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wainger, Stephen, editor. edt http://id.loc.gov/vocabulary/relators/edt Watson, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Weiss, Guido, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wickerhauser, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wolff, Thomas H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691603650 https://doi.org/10.1515/9781400852949 https://www.degruyter.com/isbn/9781400852949 Cover https://www.degruyter.com/document/cover/isbn/9781400852949/original |
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title |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / |
spellingShingle |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / Princeton Mathematical Series ; Frontmatter -- CONTENTS -- INTRODUCTION -- 1. Selected Theorems by Eli Stein -- 2. Geometric Inequalities in Fourier Analysis -- 3. Representing Measures for Holomorphic Functions on Type 2 Wedges -- 4. Some New Estimates on Oscillatory Integrals -- 5. Dilations Associated to Flat Curves in Rn -- 6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two -- 7. Opérateurs Bilinéaires et Renormalisation -- 8. Numerical Harmonic Analysis -- 9. Some Topics from Harmonic Analysis and Partial Differential Equations -- 10. Function Spaces on Spaces of Homogeneous Type -- 11. The First Nodal Set of a Convex Domain -- 12. On Removable Sets for Sobolev Spaces in the Plane -- 13. Oscillatory Integrals and Non-Linear Dispersive Equations -- 14. Singular Integrals and Fourier Integral Operators -- 15. Counterexamples with Harmonic Gradients in R3 |
title_full |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / ed. by Charles Fefferman, Stephen Wainger, Robert Fefferman. |
title_fullStr |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / ed. by Charles Fefferman, Stephen Wainger, Robert Fefferman. |
title_full_unstemmed |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / ed. by Charles Fefferman, Stephen Wainger, Robert Fefferman. |
title_auth |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / |
title_alt |
Frontmatter -- CONTENTS -- INTRODUCTION -- 1. Selected Theorems by Eli Stein -- 2. Geometric Inequalities in Fourier Analysis -- 3. Representing Measures for Holomorphic Functions on Type 2 Wedges -- 4. Some New Estimates on Oscillatory Integrals -- 5. Dilations Associated to Flat Curves in Rn -- 6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two -- 7. Opérateurs Bilinéaires et Renormalisation -- 8. Numerical Harmonic Analysis -- 9. Some Topics from Harmonic Analysis and Partial Differential Equations -- 10. Function Spaces on Spaces of Homogeneous Type -- 11. The First Nodal Set of a Convex Domain -- 12. On Removable Sets for Sobolev Spaces in the Plane -- 13. Oscillatory Integrals and Non-Linear Dispersive Equations -- 14. Singular Integrals and Fourier Integral Operators -- 15. Counterexamples with Harmonic Gradients in R3 |
title_new |
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42) / |
title_sort |
essays on fourier analysis in honor of elias m. stein (pms-42) / |
series |
Princeton Mathematical Series ; |
series2 |
Princeton Mathematical Series ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (396 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- CONTENTS -- INTRODUCTION -- 1. Selected Theorems by Eli Stein -- 2. Geometric Inequalities in Fourier Analysis -- 3. Representing Measures for Holomorphic Functions on Type 2 Wedges -- 4. Some New Estimates on Oscillatory Integrals -- 5. Dilations Associated to Flat Curves in Rn -- 6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two -- 7. Opérateurs Bilinéaires et Renormalisation -- 8. Numerical Harmonic Analysis -- 9. Some Topics from Harmonic Analysis and Partial Differential Equations -- 10. Function Spaces on Spaces of Homogeneous Type -- 11. The First Nodal Set of a Convex Domain -- 12. On Removable Sets for Sobolev Spaces in the Plane -- 13. Oscillatory Integrals and Non-Linear Dispersive Equations -- 14. Singular Integrals and Fourier Integral Operators -- 15. Counterexamples with Harmonic Gradients in R3 |
isbn |
9781400852949 9783110413441 9783110413595 9783110501063 9783110665925 9783110442496 9780691603650 |
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QA403 |
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Congresses. |
url |
https://doi.org/10.1515/9781400852949 https://www.degruyter.com/isbn/9781400852949 https://www.degruyter.com/document/cover/isbn/9781400852949/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
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Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff.The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space.Originally published in 1995.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. 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ind1=" " ind2=" "><subfield code="a">Plurisubharmonic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pseudo-Riemannian manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pseudo-differential operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pythagorean theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Radon transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Regularity theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Representation theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemannian manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riesz representation theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riesz 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