Explorations in harmonic analysis : with applications to complex function theory and the Heisenberg group
This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier se...
Guardado en:
| Autor principal: | |
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| Otros Autores: | |
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edición: | 1. |
| Colección: | Applied and Numerical Harmonic Analysis
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| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 01 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Explorations in Harmonic Analysis, Texte imprimé, 9780817672072 • Explorations in harmonic analysis, with applications to complex function theory and the Heisenberg group, Steven G. Krantz, 2009, Boston, Birkhäuser, 1 vol. (XIV-360 p.), Applied and numerical harmonic analysis, 978-0-8176-4668-4 |
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| 100 | 1 | |a Krantz, Steven G., |d 1951-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Explorations in harmonic analysis : |b with applications to complex function theory and the Heisenberg group |c by Steven G. Krantz ; with the assistance of Lina Lee. |
| 250 | |a 1. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Applied and Numerical Harmonic Analysis |x 2296-5017 | |
| 500 | |a Description d'après consultation du 01 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Ontology and History of Real Analysis The Central Idea: The Hilbert Transform Essentials of the Fourier Transform Fractional and Singular Integrals A Crash Course in Several Complex Variables Pseudoconvexity and Domains of Holomorphy Canonical Complex Integral Operators Hardy Spaces Old and New to the Heisenberg Group Analysis on the Heisenberg Group A Coda on Domains of Finite Type | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and Poisson Szegö integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis. Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis | ||
| 650 | |a Analyse harmonique (mathématiques) | ||
| 650 | |a Séries de Fourier | ||
| 650 | |a Fourier, Transformations de | ||
| 700 | 1 | |a Lee, Lina, |d 1976- |4 clb | |
| 776 | 0 | |t Explorations in Harmonic Analysis |b Texte imprimé |z 9780817672072 | |
| 776 | 0 | |0 139088687 |t Explorations in harmonic analysis |o with applications to complex function theory and the Heisenberg group |f Steven G. Krantz |d 2009 |c Boston |n Birkhäuser |p 1 vol. (XIV-360 p.) |s Applied and numerical harmonic analysis |z 978-0-8176-4668-4 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-4669-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-52QDKLF5-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747846294 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-0-8176-4669-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750863811 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-4669-1 |z Accès INSA CVL | |
| 997 | |0 941554 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||