Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer |
Autore | Han Yongsheng |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
Descrizione fisica | 1 online resource (138 p.) |
Disciplina | 515/.2433 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Littlewood-Paley theory
Multipliers (Mathematical analysis) Hardy spaces Function spaces |
ISBN | 1-4704-0109-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Â1. Introduction""; ""Â2. T[sup(â€?1)][sub(N)] is a Calderónâ€?Zygmund operator""; ""Â3. The Calderónâ€?type reproducing formula on spaces of homogeneous type""; ""Â4. The Besov and Triebelâ€?Lizorkin spaces on spaces of homogeneous type""; ""Â5. The T1 theorems for B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â6. Atomic decomposition of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â7. Duality and interpolation of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""References"" |
Record Nr. | UNINA-9910788754903321 |
Han Yongsheng
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||
Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer |
Autore | Han Yongsheng |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
Descrizione fisica | 1 online resource (138 p.) |
Disciplina | 515/.2433 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Littlewood-Paley theory
Multipliers (Mathematical analysis) Hardy spaces Function spaces |
ISBN | 1-4704-0109-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Â1. Introduction""; ""Â2. T[sup(â€?1)][sub(N)] is a Calderónâ€?Zygmund operator""; ""Â3. The Calderónâ€?type reproducing formula on spaces of homogeneous type""; ""Â4. The Besov and Triebelâ€?Lizorkin spaces on spaces of homogeneous type""; ""Â5. The T1 theorems for B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â6. Atomic decomposition of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â7. Duality and interpolation of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""References"" |
Record Nr. | UNINA-9910817229003321 |
Han Yongsheng
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Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
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Lo trovi qui: Univ. Federico II | ||
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Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz |
Autore | Persson Lars-Erik <1949-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
Descrizione fisica | 1 online resource (633 pages) |
Disciplina | 515.2433 |
Soggetto topico |
Fourier series
Hardy spaces Martingales (Mathematics) Sèries de Fourier Espais de Hardy Martingales (Matemàtica) |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-14459-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- How to Read the Book? -- Acknowledgements -- Contents -- 1 Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces -- 1.1 Introduction -- 1.2 Vilenkin Groups and Functions -- 1.3 The Representation of the Vilenkin Groups on the Interval [0,1) -- 1.4 Convex Functions and Classical Inequalities -- 1.5 Lebesgue Spaces -- 1.6 Dirichlet Kernels -- 1.7 Lebesgue Constants -- 1.8 Vilenkin-Fourier Coefficients -- 1.9 Partial Sums -- 1.10 Final Comments and Open Questions -- 2 Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series -- 2.1 Introduction -- 2.2 Conditional Expectation Operators -- 2.3 Martingales and Maximal Functions -- 2.4 Calderon-Zygmund Decomposition -- 2.5 Almost Everywhere Convergence of Vilenkin-Fourier Series -- 2.6 Almost Everywhere Divergence of Vilenkin-Fourier Series -- 2.7 Final Comments and Open Questions -- 3 Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces -- 3.1 Introduction -- 3.2 Vilenkin-Fejér Kernels -- 3.3 Approximation of Vilenkin-Fejér Means -- 3.4 Almost Everywhere Convergence of Vilenkin- Fejér Means -- 3.5 Approximate Identity -- 3.6 Final Comments and Open Questions -- 4 Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces -- 4.1 Introduction -- 4.2 Well-Known and New Examples of Nörlund and TMeans -- 4.3 Regularity of Nörlund and T Means -- 4.4 Kernels of Nörlund Means -- 4.5 Kernels of T Means -- 4.6 Norm Convergence of Nörlund and T Means in Lebesgue Spaces -- 4.7 Almost Everywhere Convergence of Nörlund and T Means -- 4.8 Convergence of Nörlund and T Means in Vilenkin-Lebesgue Points -- 4.9 Riesz and Nörlund Logarithmic Kernels and Means -- 4.10 Final Comments and Open Questions -- 5 Theory of Martingale Hardy Spaces -- 5.1 Introduction -- 5.2 Martingale Hardy Spaces and Modulus of Continuity.
5.3 Atomic Decomposition of the Martingale Hardy Spaces Hp -- 5.4 Interpolation Between Hardy Spaces Hp -- 5.5 Bounded Operators on Hp Spaces -- 5.6 Examples of p-Atoms and Hp Martingales -- 5.7 Final Comments and Open Questions -- 6 Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces -- 6.1 Introduction -- 6.2 Estimations of Vilenkin-Fourier Coefficients in Hp Spaces -- 6.3 Hardy and Paley Type Inequalities in Hp Spaces -- 6.4 Maximal Operators of Partial Sums on Hp Spaces -- 6.5 Convergence of Partial Sums in Hp Spaces -- 6.6 Convergence of Subsequences of Partial Sums in Hp Spaces -- 6.7 Strong Convergence of Partial Sums in Hp Spaces -- 6.8 Final Comments and Open Questions -- 7 Vilenkin-Fejér Means in Martingale Hardy Spaces -- 7.1 Introduction -- 7.2 Maximal Operator of Vilenkin-Fejér Means on Hp Spaces -- 7.3 Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.4 Convergence of Subsequences of Vilenkin-Fejér Means in Hp Spaces -- 7.5 Strong Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.6 Final Comments and Open Questions -- 8 Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces -- 8.1 Introduction -- 8.2 Maximal Operators of Nörlund Means on Hp Spaces -- 8.3 Maximal Operators of T Means on Hp Spaces -- 8.4 Strong Convergence of Nörlund Means in Hp Spaces -- 8.5 Strong Convergence of T Means in Hp Spaces -- 8.6 Maximal Operators of Riesz and Nörlund Logarithmic Means on Hp Spaces -- 8.7 Strong Convergence of Riesz and Nörlund Logarithmic Means in Hp Spaces -- 8.8 Final Comments and Open Questions -- 9 Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces -- 9.1 Introduction -- 9.2 Variable Lebesgue Spaces -- 9.3 Doob's Inequality in Variable Lebesgue Spaces -- 9.4 The Maximal Operator Us -- 9.5 The Maximal Operator Vα,s -- 9.6 Variable Martingale Hardy Spaces. 9.7 Atomic Decomposition of Variable Hardy Spaces -- 9.8 Martingale Inequalities in Variable Spaces -- 9.9 Partial Sums of Vilenkin-Fourier Series in Variable Lebesgue Spaces -- 9.10 The Maximal Fejér Operator on Hp(·) -- 9.11 Final Comments and Open Questions -- 10 Appendix: Dyadic Group and Walsh and Kaczmarz Systems -- 10.1 Introduction -- 10.2 Walsh Group and Walsh and Kaczmarz Systems -- 10.3 Estimates of the Walsh-Fejér Kernels -- 10.4 Walsh-Fejér Means in Hp -- 10.5 Modulus of Continuity in Hp and Walsh-Fejér Means -- 10.6 Riesz and Nörlund Logarithmic Means in Hp -- 10.7 Maximal Operators of Kaczmarz-Fejér Means on Hp -- 10.8 Modulus of Continuity in Hp and Kaczmarz-Fejér Means -- 10.9 Final Comments and Open Questions -- References -- Notations -- Index. |
Record Nr. | UNINA-9910632485203321 |
Persson Lars-Erik <1949->
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Cham, Switzerland : , : Birkhäuser, , [2022] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz |
Autore | Persson Lars-Erik <1949-> |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
Descrizione fisica | 1 online resource (633 pages) |
Disciplina | 515.2433 |
Soggetto topico |
Fourier series
Hardy spaces Martingales (Mathematics) Sèries de Fourier Espais de Hardy Martingales (Matemàtica) |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-14459-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- How to Read the Book? -- Acknowledgements -- Contents -- 1 Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces -- 1.1 Introduction -- 1.2 Vilenkin Groups and Functions -- 1.3 The Representation of the Vilenkin Groups on the Interval [0,1) -- 1.4 Convex Functions and Classical Inequalities -- 1.5 Lebesgue Spaces -- 1.6 Dirichlet Kernels -- 1.7 Lebesgue Constants -- 1.8 Vilenkin-Fourier Coefficients -- 1.9 Partial Sums -- 1.10 Final Comments and Open Questions -- 2 Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series -- 2.1 Introduction -- 2.2 Conditional Expectation Operators -- 2.3 Martingales and Maximal Functions -- 2.4 Calderon-Zygmund Decomposition -- 2.5 Almost Everywhere Convergence of Vilenkin-Fourier Series -- 2.6 Almost Everywhere Divergence of Vilenkin-Fourier Series -- 2.7 Final Comments and Open Questions -- 3 Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces -- 3.1 Introduction -- 3.2 Vilenkin-Fejér Kernels -- 3.3 Approximation of Vilenkin-Fejér Means -- 3.4 Almost Everywhere Convergence of Vilenkin- Fejér Means -- 3.5 Approximate Identity -- 3.6 Final Comments and Open Questions -- 4 Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces -- 4.1 Introduction -- 4.2 Well-Known and New Examples of Nörlund and TMeans -- 4.3 Regularity of Nörlund and T Means -- 4.4 Kernels of Nörlund Means -- 4.5 Kernels of T Means -- 4.6 Norm Convergence of Nörlund and T Means in Lebesgue Spaces -- 4.7 Almost Everywhere Convergence of Nörlund and T Means -- 4.8 Convergence of Nörlund and T Means in Vilenkin-Lebesgue Points -- 4.9 Riesz and Nörlund Logarithmic Kernels and Means -- 4.10 Final Comments and Open Questions -- 5 Theory of Martingale Hardy Spaces -- 5.1 Introduction -- 5.2 Martingale Hardy Spaces and Modulus of Continuity.
5.3 Atomic Decomposition of the Martingale Hardy Spaces Hp -- 5.4 Interpolation Between Hardy Spaces Hp -- 5.5 Bounded Operators on Hp Spaces -- 5.6 Examples of p-Atoms and Hp Martingales -- 5.7 Final Comments and Open Questions -- 6 Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces -- 6.1 Introduction -- 6.2 Estimations of Vilenkin-Fourier Coefficients in Hp Spaces -- 6.3 Hardy and Paley Type Inequalities in Hp Spaces -- 6.4 Maximal Operators of Partial Sums on Hp Spaces -- 6.5 Convergence of Partial Sums in Hp Spaces -- 6.6 Convergence of Subsequences of Partial Sums in Hp Spaces -- 6.7 Strong Convergence of Partial Sums in Hp Spaces -- 6.8 Final Comments and Open Questions -- 7 Vilenkin-Fejér Means in Martingale Hardy Spaces -- 7.1 Introduction -- 7.2 Maximal Operator of Vilenkin-Fejér Means on Hp Spaces -- 7.3 Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.4 Convergence of Subsequences of Vilenkin-Fejér Means in Hp Spaces -- 7.5 Strong Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.6 Final Comments and Open Questions -- 8 Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces -- 8.1 Introduction -- 8.2 Maximal Operators of Nörlund Means on Hp Spaces -- 8.3 Maximal Operators of T Means on Hp Spaces -- 8.4 Strong Convergence of Nörlund Means in Hp Spaces -- 8.5 Strong Convergence of T Means in Hp Spaces -- 8.6 Maximal Operators of Riesz and Nörlund Logarithmic Means on Hp Spaces -- 8.7 Strong Convergence of Riesz and Nörlund Logarithmic Means in Hp Spaces -- 8.8 Final Comments and Open Questions -- 9 Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces -- 9.1 Introduction -- 9.2 Variable Lebesgue Spaces -- 9.3 Doob's Inequality in Variable Lebesgue Spaces -- 9.4 The Maximal Operator Us -- 9.5 The Maximal Operator Vα,s -- 9.6 Variable Martingale Hardy Spaces. 9.7 Atomic Decomposition of Variable Hardy Spaces -- 9.8 Martingale Inequalities in Variable Spaces -- 9.9 Partial Sums of Vilenkin-Fourier Series in Variable Lebesgue Spaces -- 9.10 The Maximal Fejér Operator on Hp(·) -- 9.11 Final Comments and Open Questions -- 10 Appendix: Dyadic Group and Walsh and Kaczmarz Systems -- 10.1 Introduction -- 10.2 Walsh Group and Walsh and Kaczmarz Systems -- 10.3 Estimates of the Walsh-Fejér Kernels -- 10.4 Walsh-Fejér Means in Hp -- 10.5 Modulus of Continuity in Hp and Walsh-Fejér Means -- 10.6 Riesz and Nörlund Logarithmic Means in Hp -- 10.7 Maximal Operators of Kaczmarz-Fejér Means on Hp -- 10.8 Modulus of Continuity in Hp and Kaczmarz-Fejér Means -- 10.9 Final Comments and Open Questions -- References -- Notations -- Index. |
Record Nr. | UNISA-996499865803316 |
Persson Lars-Erik <1949->
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Cham, Switzerland : , : Birkhäuser, , [2022] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Nonlinear commutators in interpolation theory / / Nigel J. Kalton |
Autore | Kalton Nigel J (Nigel John), <1946-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (94 p.) |
Disciplina | 515.7/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Interpolation spaces
Commutators (Operator theory) Banach spaces Hardy spaces |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0805-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Notation""; ""3. Centralizers and symmetric centralizers""; ""4. Lattice twisted squares and commutators""; ""5. A preliminary commutator theorem""; ""6. The symmetric Hardy class""; ""7. Some remarks on Hardy spaces""; ""8. Final remarks""; ""References"" |
Record Nr. | UNINA-9910480686203321 |
Kalton Nigel J (Nigel John), <1946->
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Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
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Lo trovi qui: Univ. Federico II | ||
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Nonlinear commutators in interpolation theory / / Nigel J. Kalton |
Autore | Kalton Nigel J (Nigel John), <1946-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (94 p.) |
Disciplina | 515.7/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Interpolation spaces
Commutators (Operator theory) Banach spaces Hardy spaces |
ISBN | 1-4704-0805-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Notation""; ""3. Centralizers and symmetric centralizers""; ""4. Lattice twisted squares and commutators""; ""5. A preliminary commutator theorem""; ""6. The symmetric Hardy class""; ""7. Some remarks on Hardy spaces""; ""8. Final remarks""; ""References"" |
Record Nr. | UNINA-9910788885903321 |
Kalton Nigel J (Nigel John), <1946->
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||
Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear commutators in interpolation theory / / Nigel J. Kalton |
Autore | Kalton Nigel J (Nigel John), <1946-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
Descrizione fisica | 1 online resource (94 p.) |
Disciplina | 515.7/24 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Interpolation spaces
Commutators (Operator theory) Banach spaces Hardy spaces |
ISBN | 1-4704-0805-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Notation""; ""3. Centralizers and symmetric centralizers""; ""4. Lattice twisted squares and commutators""; ""5. A preliminary commutator theorem""; ""6. The symmetric Hardy class""; ""7. Some remarks on Hardy spaces""; ""8. Final remarks""; ""References"" |
Record Nr. | UNINA-9910811638003321 |
Kalton Nigel J (Nigel John), <1946->
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Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
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Lo trovi qui: Univ. Federico II | ||
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Operator valued Hardy spaces / / Tao Mei |
Autore | Mei Tao <1974-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (78 p.) |
Disciplina | 515/.94 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hardy spaces
Operator theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0485-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""1. Complex interpolation""""2. Real interpolation""; ""3. Fourier multipliers""; ""Bibliography"" |
Record Nr. | UNINA-9910481018503321 |
Mei Tao <1974->
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||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Operator valued Hardy spaces / / Tao Mei |
Autore | Mei Tao <1974-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (78 p.) |
Disciplina | 515/.94 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hardy spaces
Operator theory |
ISBN | 1-4704-0485-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""1. Complex interpolation""""2. Real interpolation""; ""3. Fourier multipliers""; ""Bibliography"" |
Record Nr. | UNINA-9910788744803321 |
Mei Tao <1974->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Operator valued Hardy spaces / / Tao Mei |
Autore | Mei Tao <1974-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (78 p.) |
Disciplina | 515/.94 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hardy spaces
Operator theory |
ISBN | 1-4704-0485-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""1. Complex interpolation""""2. Real interpolation""; ""3. Fourier multipliers""; ""Bibliography"" |
Record Nr. | UNINA-9910819099803321 |
Mei Tao <1974->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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