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Introduction to Hyperfunctions and Their Integral Transforms An Applied and Computational Approach /
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analy...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2010.
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| Edición: | 1st ed. 2010. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0346-0408-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220118120311.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 101226s2010 sz | s |||| 0|eng d | ||
| 020 | |a 9783034604086 |9 978-3-0346-0408-6 | ||
| 024 | 7 | |a 10.1007/978-3-0346-0408-6 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBKL |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKL |2 thema | |
| 082 | 0 | 4 | |a 515.72 |2 23 |
| 100 | 1 | |a Graf, Urs. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Introduction to Hyperfunctions and Their Integral Transforms |h [electronic resource] : |b An Applied and Computational Approach / |c by Urs Graf. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2010. | |
| 300 | |a 432 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 | ||
| 505 | 0 | |a to Hyperfunctions -- Analytic Properties -- Laplace Transforms -- Fourier Transforms -- Hilbert Transforms -- Mellin Transforms -- Hankel Transforms. | |
| 520 | |a This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics. . | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Special functions. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 1 | 4 | |a Integral Transforms and Operational Calculus. |
| 650 | 2 | 4 | |a Special Functions. |
| 650 | 2 | 4 | |a Computational Science and Engineering. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034604093 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034604079 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0346-0408-6 |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) | ||