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Bochner-Riesz means on euclidean spaces / / Shanzhen Lu, Dunyan Yan
| Bochner-Riesz means on euclidean spaces / / Shanzhen Lu, Dunyan Yan |
| Autore | Lu Shanzhen <1939-> |
| Pubbl/distr/stampa | New York : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515.2433 |
| Altri autori (Persone) | YanDunyan |
| Soggetto topico |
Fourier series
Euclidean algorithm |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4458-77-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 An introduction to multiple Fourier series; 1.1 Basic properties of multiple Fourier series; 1.2 Poisson summation formula; 1.3 Convergence and the opposite results; 1.4 Linear summation; 2 Bochner-Riesz means of multiple Fourier integral; 2.1 Localization principle and classic results on fixed-point convergence; 2.2 Lp-convergence; 2.3 Some basic facts on multipliers; 2.4 The disc conjecture and Fefferman theorem; 2.5 The Lp-boundedness of Bochner-Riesz operator Tα with α > 0; 2.6 Oscillatory integral and proof of Carleson-Sjolin theorem; 2.6.1 Oscillatory integrals
2.6.2 Proof of Carleson-Sjolin theorem2.7 Kakeya maximal function; 2.8 The restriction theorem of the Fourier transform; 2.9 The case of radial functions; 2.10 Almost everywhere convergence; 2.11 Commutator of Bochner-Riesz operator; 3 Bochner-Riesz means of multiple Fourier series; 3.1 The case of being over the critical index; 3.1.1 Bochner formula; 3.1.2 The localization theorem; 3.1.3 The maximal operator Sα*; 3.2 The case of the critical index (general discussion); 3.2.1 Localization problems; 3.2.2 An example of being divergent almost everywhere 3.9 The saturation problem of the uniform approximation3.10 Strong summation; 4 The conjugate Fourier integral and series; 4.1 The conjugate integral and the estimate of the kernel; 4.2 Convergence of Bochner-Riesz means for conjugate Fourier integral; 4.3 The conjugate Fourier series; 4.4 Kernel of Bochner-Riesz means of conjugate Fourier series; 4.5 The maximal operator of the conjugate partial sum; 4.6 The relations between the conjugate series and integral; 4.7 Convergence of Bochner-Riesz means of conjugate Fourier series; 4.8 (C,1) means in the conjugate case 4.9 The strong summation of the conjugate Fourier series4.10 Approximation of continuous functions; Bibliography; Index |
| Record Nr. | UNINA-9910452733703321 |
Lu Shanzhen <1939->
|
||
| New York : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bochner-Riesz means on Euclidean spaces / / Shanzhen Lu, Beijing Normal University, China, Dunyan Yan, University of Chinese Academy of Sciences, China
| Bochner-Riesz means on Euclidean spaces / / Shanzhen Lu, Beijing Normal University, China, Dunyan Yan, University of Chinese Academy of Sciences, China |
| Autore | Lu Shanzhen <1939-> |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2013] |
| Descrizione fisica | 1 online resource (viii, 376 pages) : illustrations |
| Disciplina | 515.2433 |
| Collana | Gale eBooks |
| Soggetto topico |
Fourier series
Euclidean algorithm Fourier series - Mathematical models Euclidean algorithm - Mathematical models |
| ISBN | 981-4458-77-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 An introduction to multiple Fourier series; 1.1 Basic properties of multiple Fourier series; 1.2 Poisson summation formula; 1.3 Convergence and the opposite results; 1.4 Linear summation; 2 Bochner-Riesz means of multiple Fourier integral; 2.1 Localization principle and classic results on fixed-point convergence; 2.2 Lp-convergence; 2.3 Some basic facts on multipliers; 2.4 The disc conjecture and Fefferman theorem; 2.5 The Lp-boundedness of Bochner-Riesz operator Tα with α > 0; 2.6 Oscillatory integral and proof of Carleson-Sjolin theorem; 2.6.1 Oscillatory integrals
2.6.2 Proof of Carleson-Sjolin theorem2.7 Kakeya maximal function; 2.8 The restriction theorem of the Fourier transform; 2.9 The case of radial functions; 2.10 Almost everywhere convergence; 2.11 Commutator of Bochner-Riesz operator; 3 Bochner-Riesz means of multiple Fourier series; 3.1 The case of being over the critical index; 3.1.1 Bochner formula; 3.1.2 The localization theorem; 3.1.3 The maximal operator Sα*; 3.2 The case of the critical index (general discussion); 3.2.1 Localization problems; 3.2.2 An example of being divergent almost everywhere 3.9 The saturation problem of the uniform approximation3.10 Strong summation; 4 The conjugate Fourier integral and series; 4.1 The conjugate integral and the estimate of the kernel; 4.2 Convergence of Bochner-Riesz means for conjugate Fourier integral; 4.3 The conjugate Fourier series; 4.4 Kernel of Bochner-Riesz means of conjugate Fourier series; 4.5 The maximal operator of the conjugate partial sum; 4.6 The relations between the conjugate series and integral; 4.7 Convergence of Bochner-Riesz means of conjugate Fourier series; 4.8 (C,1) means in the conjugate case 4.9 The strong summation of the conjugate Fourier series4.10 Approximation of continuous functions; Bibliography; Index |
| Record Nr. | UNINA-9910790428703321 |
|
Lu Shanzhen <1939->
|
||
| New Jersey : , : World Scientific, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bochner-Riesz means on Euclidean spaces / / Shanzhen Lu, Beijing Normal University, China, Dunyan Yan, University of Chinese Academy of Sciences, China
| Bochner-Riesz means on Euclidean spaces / / Shanzhen Lu, Beijing Normal University, China, Dunyan Yan, University of Chinese Academy of Sciences, China |
| Autore | Lu Shanzhen <1939-> |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2013] |
| Descrizione fisica | 1 online resource (viii, 376 pages) : illustrations |
| Disciplina | 515.2433 |
| Collana | Gale eBooks |
| Soggetto topico |
Fourier series
Euclidean algorithm Fourier series - Mathematical models Euclidean algorithm - Mathematical models |
| ISBN | 981-4458-77-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1 An introduction to multiple Fourier series; 1.1 Basic properties of multiple Fourier series; 1.2 Poisson summation formula; 1.3 Convergence and the opposite results; 1.4 Linear summation; 2 Bochner-Riesz means of multiple Fourier integral; 2.1 Localization principle and classic results on fixed-point convergence; 2.2 Lp-convergence; 2.3 Some basic facts on multipliers; 2.4 The disc conjecture and Fefferman theorem; 2.5 The Lp-boundedness of Bochner-Riesz operator Tα with α > 0; 2.6 Oscillatory integral and proof of Carleson-Sjolin theorem; 2.6.1 Oscillatory integrals
2.6.2 Proof of Carleson-Sjolin theorem2.7 Kakeya maximal function; 2.8 The restriction theorem of the Fourier transform; 2.9 The case of radial functions; 2.10 Almost everywhere convergence; 2.11 Commutator of Bochner-Riesz operator; 3 Bochner-Riesz means of multiple Fourier series; 3.1 The case of being over the critical index; 3.1.1 Bochner formula; 3.1.2 The localization theorem; 3.1.3 The maximal operator Sα*; 3.2 The case of the critical index (general discussion); 3.2.1 Localization problems; 3.2.2 An example of being divergent almost everywhere 3.9 The saturation problem of the uniform approximation3.10 Strong summation; 4 The conjugate Fourier integral and series; 4.1 The conjugate integral and the estimate of the kernel; 4.2 Convergence of Bochner-Riesz means for conjugate Fourier integral; 4.3 The conjugate Fourier series; 4.4 Kernel of Bochner-Riesz means of conjugate Fourier series; 4.5 The maximal operator of the conjugate partial sum; 4.6 The relations between the conjugate series and integral; 4.7 Convergence of Bochner-Riesz means of conjugate Fourier series; 4.8 (C,1) means in the conjugate case 4.9 The strong summation of the conjugate Fourier series4.10 Approximation of continuous functions; Bibliography; Index |
| Record Nr. | UNINA-9910815200403321 |
|
Lu Shanzhen <1939->
|
||
| New Jersey : , : World Scientific, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular integrals and related topics [[electronic resource] /] / Shanzhen Lu, Yong Ding, Dunyan Yan
| Singular integrals and related topics [[electronic resource] /] / Shanzhen Lu, Yong Ding, Dunyan Yan |
| Autore | Lu Shanzhen <1939-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 515/.2433 |
| Altri autori (Persone) |
DingYong
YanDunyan |
| Soggetto topico |
Singular integrals
Harmonic analysis Operator theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-12169-X
9786611121693 981-277-056-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Hardy-Littlewood Maximal Operator; 2 Singular Integral Operators; 3 Fractional Integral Operators; 4 Oscillatory Singular Integrals; 5 Littlewood-Paley Operator; Bibliography; Index |
| Record Nr. | UNINA-9910450693403321 |
|
Lu Shanzhen <1939->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular integrals and related topics [[electronic resource] /] / Shanzhen Lu, Yong Ding, Dunyan Yan
| Singular integrals and related topics [[electronic resource] /] / Shanzhen Lu, Yong Ding, Dunyan Yan |
| Autore | Lu Shanzhen <1939-> |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 515/.2433 |
| Altri autori (Persone) |
DingYong
YanDunyan |
| Soggetto topico |
Singular integrals
Harmonic analysis Operator theory |
| ISBN |
1-281-12169-X
9786611121693 981-277-056-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Hardy-Littlewood Maximal Operator; 2 Singular Integral Operators; 3 Fractional Integral Operators; 4 Oscillatory Singular Integrals; 5 Littlewood-Paley Operator; Bibliography; Index |
| Record Nr. | UNINA-9910784069803321 |
|
Lu Shanzhen <1939->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular integrals and related topics / / Shanzhen Lu, Yong Ding, Dunyan Yan
| Singular integrals and related topics / / Shanzhen Lu, Yong Ding, Dunyan Yan |
| Autore | Lu Shanzhen <1939-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 515/.2433 |
| Altri autori (Persone) |
DingYong
YanDunyan |
| Soggetto topico |
Singular integrals
Harmonic analysis Operator theory |
| ISBN |
1-281-12169-X
9786611121693 981-277-056-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; 1 Hardy-Littlewood Maximal Operator; 2 Singular Integral Operators; 3 Fractional Integral Operators; 4 Oscillatory Singular Integrals; 5 Littlewood-Paley Operator; Bibliography; Index |
| Record Nr. | UNINA-9910822022403321 |
|
Lu Shanzhen <1939->
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||