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catalog alternative "Análisis de Fourier. English".
catalog contributor b11934127.
catalog created "2001.".
catalog date "2001".
catalog date "2001.".
catalog dateCopyrighted "2001.".
catalog description "Chapter 1. Fourier Series and Integrals 1 -- 1. Fourier coefficients and series 1 -- 2. Criteria for pointwise convergence 2 -- 3. Fourier series of continuous functions 6 -- 4. Convergence in norm 8 -- 5. Summability methods 9 -- 6. Fourier transform of L[superscript 1] functions 11 -- 7. Schwartz class and tempered distributions 12 -- 8. Fourier transform on L[superscript p], 1 <p [less than or equal] 2 15 -- 9. Convergence and summability of Fourier integrals 17 -- Chapter 2. Hardy-Littlewood Maximal Function 25 -- 1. Approximations of the identity 25 -- 2. Weak-type inequalities and almost everywhere convergence 26 -- 3. Marcinkiewicz interpolation theorem 28 -- 4. Hardy-Littlewood maximal function 30 -- 5. Dyadic maximal function 32 -- 6. Weak (1, 1) inequality for the maximal function 35 -- 7. A weighted norm inequality 37 -- Chapter 3. Hilbert Transform 49 -- 1.".
catalog description "Conjugate Poisson kernel 49 -- 2. Principal value of 1/x 50 -- 3. Theorems of M. Riesz and Kolmogorov 51 -- 4. Truncated integrals and pointwise convergence 55 -- 5. Multipliers 58 -- Chapter 4. Singular Integrals (I) 69 -- 1. Definition and examples 69 -- 2. Fourier transform of the kernel 70 -- 3. Method of rotations 73 -- 4. Singular integrals with even kernel 77 -- 5. An operator algebra 80 -- 6. Singular integrals with variable kernel 83 -- Chapter 5. Singular Integrals (II) 91 -- 1. Calderon-Zygmund theorem 91 -- 2. Truncated integrals and the principal value 94 -- 3. Generalized Calderon-Zygmund operators 98 -- 4. Calderon-Zygmund singular integrals 101 -- 5. A vector-valued extension 105 -- Chapter 6. H[superscript 1] and BMO 115 -- 1. Space atomic H[superscript 1] 115 -- 2. Space BMO 117 -- 3. An interpolation result 121 -- 4.".
catalog description "Includes bibliographical references (p. 217-218) and index.".
catalog description "John-Nirenberg inequality 123 -- Chapter 7. Weighted Inequalities 133 -- 1. A[subscript p] condition 133 -- 2. Strong-type inequalities with weights 137 -- 3. A[subscript 1] weights and an extrapolation theorem 140 -- 4. Weighted inequalities for singular integrals 143 -- Chapter 8. Littlewood-Paley Theory and Multipliers 157 -- 1. Some vector-valued inequalities 157 -- 2. Littlewood-Paley theory 159 -- 3. Hormander multiplier theorem 163 -- 4. Marcinkiewicz multiplier theorem 166 -- 5. Bochner-Riesz multipliers 168 -- 6. Return to singular integrals 172 -- 7. Maximal function and the Hilbert transform along a parabola 178 -- Chapter 9. T1 Theorem 195 -- 1. Cotlar's lemma 195 -- 2. Carleson measures 197 -- 3. Statement and applications of the T1 theorem 201 -- 4. Proof of the T1 theorem 205.".
catalog extent "xviii, 222 p. ;".
catalog identifier "0821821725".
catalog isPartOf "Graduate studies in mathematics ; v. 29".
catalog issued "2001".
catalog issued "2001.".
catalog language "eng spa".
catalog language "eng".
catalog publisher "Providence, RI : American Mathematical Society,".
catalog subject "515/.2433 21".
catalog subject "Fourier analysis.".
catalog subject "QA403.5 .D8313 2001".
catalog tableOfContents "Chapter 1. Fourier Series and Integrals 1 -- 1. Fourier coefficients and series 1 -- 2. Criteria for pointwise convergence 2 -- 3. Fourier series of continuous functions 6 -- 4. Convergence in norm 8 -- 5. Summability methods 9 -- 6. Fourier transform of L[superscript 1] functions 11 -- 7. Schwartz class and tempered distributions 12 -- 8. Fourier transform on L[superscript p], 1 <p [less than or equal] 2 15 -- 9. Convergence and summability of Fourier integrals 17 -- Chapter 2. Hardy-Littlewood Maximal Function 25 -- 1. Approximations of the identity 25 -- 2. Weak-type inequalities and almost everywhere convergence 26 -- 3. Marcinkiewicz interpolation theorem 28 -- 4. Hardy-Littlewood maximal function 30 -- 5. Dyadic maximal function 32 -- 6. Weak (1, 1) inequality for the maximal function 35 -- 7. A weighted norm inequality 37 -- Chapter 3. Hilbert Transform 49 -- 1.".
catalog tableOfContents "Conjugate Poisson kernel 49 -- 2. Principal value of 1/x 50 -- 3. Theorems of M. Riesz and Kolmogorov 51 -- 4. Truncated integrals and pointwise convergence 55 -- 5. Multipliers 58 -- Chapter 4. Singular Integrals (I) 69 -- 1. Definition and examples 69 -- 2. Fourier transform of the kernel 70 -- 3. Method of rotations 73 -- 4. Singular integrals with even kernel 77 -- 5. An operator algebra 80 -- 6. Singular integrals with variable kernel 83 -- Chapter 5. Singular Integrals (II) 91 -- 1. Calderon-Zygmund theorem 91 -- 2. Truncated integrals and the principal value 94 -- 3. Generalized Calderon-Zygmund operators 98 -- 4. Calderon-Zygmund singular integrals 101 -- 5. A vector-valued extension 105 -- Chapter 6. H[superscript 1] and BMO 115 -- 1. Space atomic H[superscript 1] 115 -- 2. Space BMO 117 -- 3. An interpolation result 121 -- 4.".
catalog tableOfContents "John-Nirenberg inequality 123 -- Chapter 7. Weighted Inequalities 133 -- 1. A[subscript p] condition 133 -- 2. Strong-type inequalities with weights 137 -- 3. A[subscript 1] weights and an extrapolation theorem 140 -- 4. Weighted inequalities for singular integrals 143 -- Chapter 8. Littlewood-Paley Theory and Multipliers 157 -- 1. Some vector-valued inequalities 157 -- 2. Littlewood-Paley theory 159 -- 3. Hormander multiplier theorem 163 -- 4. Marcinkiewicz multiplier theorem 166 -- 5. Bochner-Riesz multipliers 168 -- 6. Return to singular integrals 172 -- 7. Maximal function and the Hilbert transform along a parabola 178 -- Chapter 9. T1 Theorem 195 -- 1. Cotlar's lemma 195 -- 2. Carleson measures 197 -- 3. Statement and applications of the T1 theorem 201 -- 4. Proof of the T1 theorem 205.".
catalog title "Análisis de Fourier. English".
catalog title "Fourier analysis / Javier Duoandikoetxea ; translated and revised by David Cruz-Uribe.".
catalog type "text".