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Introduction to Fourier analysis and generalised functions / F. Lighthill
| Introduction to Fourier analysis and generalised functions / F. Lighthill |
| Autore | Lighthill, F. |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1964 |
| Descrizione fisica | 79 p. : ill. ; 22 cm. |
| Collana | Cambridge monographs on mechanics and applied mathematics |
| Soggetto topico |
Fourier series
Functions (Mathematics) |
| Classificazione |
510.42
510.46.40 QA404 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001020089707536 |
Lighthill, F.
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| Cambridge : Cambridge University Press, 1964 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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An introduction to nonharmonic Fourier series / Robert M. Young
| An introduction to nonharmonic Fourier series / Robert M. Young |
| Autore | Young, Robert M. |
| Pubbl/distr/stampa | New York : Academic Press, 1980 |
| Descrizione fisica | x, 246 p. ; 24 cm. |
| Disciplina |
510
515.2433 |
| Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 93 |
| Soggetto topico |
Fourier series
Nontrigonometric Fourier analysis |
| ISBN | 0127728503 |
| Classificazione | AMS 42C |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001023649707536 |
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Young, Robert M.
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| New York : Academic Press, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Introduction to the theory of Fourier integrals / E. C. Titchmarsh
| Introduction to the theory of Fourier integrals / E. C. Titchmarsh |
| Autore | Titchmarsh, E.C. |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford : Clarendon Press, 1948 |
| Descrizione fisica | viii, 394 p. ; 25 cm. |
| Soggetto topico | Fourier series |
| Classificazione |
510.42
510.45 QA404 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001028909707536 |
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Titchmarsh, E.C.
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| Oxford : Clarendon Press, 1948 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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L'intégrale de Fourier et ses applications à l'optique / P. Duffieux
| L'intégrale de Fourier et ses applications à l'optique / P. Duffieux |
| Autore | Duffieux, P. |
| Edizione | [2ème éd.] |
| Pubbl/distr/stampa | Paris : Masson et Cie, 1970 |
| Descrizione fisica | xvi, 171 p. : ill. ; 24 cm. |
| Soggetto topico |
Fourier series
Geometrical optics |
| Classificazione |
53.2.4
510.42 QC383 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991001008499707536 |
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Duffieux, P.
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| Paris : Masson et Cie, 1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Lectures on Bochner-Riesz means / Katherine Michelle Davis, Yang-Chun Chang
| Lectures on Bochner-Riesz means / Katherine Michelle Davis, Yang-Chun Chang |
| Autore | Davis, Katherine Michelle |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1987 |
| Descrizione fisica | 150 p. : ill. ; 23 cm |
| Disciplina | 515.2433 |
| Altri autori (Persone) | Chang, Yang-Chunauthor |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 114 |
| Soggetto topico |
Convergence
Fourier series |
| ISBN | 0521312779 |
| Classificazione |
AMS 42-02
AMS 42-XX AMS 42B AMS 42B15 AMS 46E AMS 47G05 LC QA404 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003686859707536 |
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Davis, Katherine Michelle
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| Cambridge : Cambridge University Press, 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
| Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust |
| Autore | Trust Salomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (348 pages) |
| Disciplina | 517.355 |
| Altri autori (Persone) |
PollardHarry
TenenbaumMorris |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Fourier series
Integrals Harmonic analysis |
| Soggetto non controllato |
Abscissa
Absolute value Absolutely integrable function Acta Mathematica Addition Additive function Affine transformation Almost periodic function Analytic function Antiderivative Arbitrarily large Arithmetic mean Augustin-Louis Cauchy Bernhard Riemann Bessel function Big O notation Borel set Boundary layer Boundary value problem Bounded function Bounded variation Calculation Cauchy principal value Characteristic function (probability theory) Coefficient Compact space Compactness theorem Complex number Continuous function Dense set Derivative Differentiable function Dirichlet series Distribution function Division by zero E. W. Hobson Eigenfunction Eigenvalues and eigenvectors Empty set Equation Existential quantification Exponential polynomial Exterior (topology) Fourier transform Function (mathematics) Functional equation Gamma function Generating function Harmonic function Initial point Integer Integral equation Interval (mathematics) Limit of a sequence Line (geometry) Linear combination Linear differential equation Mathematische Annalen Mean value theorem Monotonic function Null set Order of integration (calculus) Order of integration Order of magnitude Parameter Partial derivative Partial fraction decomposition Poisson formula Poisson summation formula Polar coordinate system Polynomial Power series Principal part Rapidity Rational function Rational number Real variable Remainder Requirement Set function Sign (mathematics) Smoothness Special case State function Step function Subsequence Summation Theorem Total variation Trigonometric integral Uniform convergence Uniqueness theorem Variable (mathematics) |
| ISBN | 1-4008-8199-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS |
| Record Nr. | UNINA-9910154749703321 |
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Trust Salomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Limits of indeterminacy in measure of trigonometric and orthogonal series / by D. E. Men'sov ; [translated from the Russian by R.P. Boas]
| Limits of indeterminacy in measure of trigonometric and orthogonal series / by D. E. Men'sov ; [translated from the Russian by R.P. Boas] |
| Autore | Men'shov, D. E. |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, 1968 |
| Descrizione fisica | iii, 67 p. ; 25 cm. |
| Collana | Proceedings of the Steklov Institute of Mathematics, ISSN 00815438 ; 99 (1967) |
| Soggetto topico |
Fourier series
Measure theory Orthogonal series |
| Classificazione | AMS 00B25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001083309707536 |
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Men'shov, D. E.
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| Providence, R.I. : American Mathematical Society, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz
| 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 |
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Persson Lars-Erik <1949->
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| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| 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
| 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 |
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Persson Lars-Erik <1949->
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| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The mathematics of superoscillations / / Yakir Aharonov [and four others]
| The mathematics of superoscillations / / Yakir Aharonov [and four others] |
| Autore | Aharonov Yakir <1932-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (92 pages) : illustrations |
| Disciplina | 530.12 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fluctuations (Physics)
Fourier series Quantum theory |
| ISBN | 1-4704-3709-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794836603321 |
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Aharonov Yakir <1932->
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| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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