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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Applied and Numerical Harmonic Analysis,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4669-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220115202400.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817646691 |9 978-0-8176-4669-1 | ||
| 024 | 7 | |a 10.1007/978-0-8176-4669-1 |2 doi | |
| 050 | 4 | |a QA403-403.3 | |
| 072 | 7 | |a PBKD |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKD |2 thema | |
| 082 | 0 | 4 | |a 515.785 |2 23 |
| 100 | 1 | |a Krantz, Steven G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Explorations in Harmonic Analysis |h [electronic resource] : |b With Applications to Complex Function Theory and the Heisenberg Group / |c by Steven G. Krantz. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a XIV, 362 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied and Numerical Harmonic Analysis, |x 2296-5017 | |
| 505 | 0 | |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. | |
| 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 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Group theory. | |
| 650 | 1 | 4 | |a Abstract Harmonic Analysis. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 650 | 2 | 4 | |a Mathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817672072 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817646684 |
| 830 | 0 | |a Applied and Numerical Harmonic Analysis, |x 2296-5017 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-8176-4669-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||