Quaternionic approximation: with application to slice regular functions
Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Po...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2019]
|
| Schriftenreihe: | Frontiers in mathematics
|
| Schlagworte: | |
| Zusammenfassung: | Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Polynomials -- Approximation of nullsolutions of generalized Cauchy-Riemann operators This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework |
| Beschreibung: | x, 221 Seiten Illustrationen |
| ISBN: | 9783030106645 |
Internformat
MARC
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Frontiers in mathematics | |
| 520 | |a Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Polynomials -- Approximation of nullsolutions of generalized Cauchy-Riemann operators | ||
| 520 | |a This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework | ||
| 650 | 4 | |a Functions of complex variables | |
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Datensatz im Suchindex
| _version_ | 1804181714568740864 |
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| author | Gal, Sorin G. 1953- Sabadini, Irene 1965- |
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| author_facet | Gal, Sorin G. 1953- Sabadini, Irene 1965- |
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| building | Verbundindex |
| bvnumber | BV046868508 |
| classification_tum | MAT 307 |
| ctrlnum | (OCoLC)1105618531 (DE-599)KXP1669206998 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV046868508 |
| illustrated | Illustrated |
| index_date | 2024-07-03T15:14:57Z |
| indexdate | 2024-07-10T08:56:03Z |
| institution | BVB |
| isbn | 9783030106645 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032278686 |
| oclc_num | 1105618531 |
| open_access_boolean | |
| owner | DE-83 DE-91G DE-BY-TUM |
| owner_facet | DE-83 DE-91G DE-BY-TUM |
| physical | x, 221 Seiten Illustrationen |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Frontiers in mathematics |
| spelling | Gal, Sorin G. 1953- Verfasser (DE-588)121815943 aut Quaternionic approximation with application to slice regular functions Sorin G. Gal, Irene Sabadini Cham, Switzerland Birkhäuser [2019] x, 221 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Frontiers in mathematics Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Polynomials -- Approximation of nullsolutions of generalized Cauchy-Riemann operators This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework Functions of complex variables Mathematics Quaternion (DE-588)4176653-2 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Quaternion (DE-588)4176653-2 s Approximation (DE-588)4002498-2 s DE-604 Sabadini, Irene 1965- Verfasser (DE-588)130606936 aut Erscheint auch als Online-Ausgabe 10.1007/978-3-030-10666-9 978-3-030-10666-9 |
| spellingShingle | Gal, Sorin G. 1953- Sabadini, Irene 1965- Quaternionic approximation with application to slice regular functions Functions of complex variables Mathematics Quaternion (DE-588)4176653-2 gnd Approximation (DE-588)4002498-2 gnd |
| subject_GND | (DE-588)4176653-2 (DE-588)4002498-2 |
| title | Quaternionic approximation with application to slice regular functions |
| title_auth | Quaternionic approximation with application to slice regular functions |
| title_exact_search | Quaternionic approximation with application to slice regular functions |
| title_exact_search_txtP | Quaternionic approximation with application to slice regular functions |
| title_full | Quaternionic approximation with application to slice regular functions Sorin G. Gal, Irene Sabadini |
| title_fullStr | Quaternionic approximation with application to slice regular functions Sorin G. Gal, Irene Sabadini |
| title_full_unstemmed | Quaternionic approximation with application to slice regular functions Sorin G. Gal, Irene Sabadini |
| title_short | Quaternionic approximation |
| title_sort | quaternionic approximation with application to slice regular functions |
| title_sub | with application to slice regular functions |
| topic | Functions of complex variables Mathematics Quaternion (DE-588)4176653-2 gnd Approximation (DE-588)4002498-2 gnd |
| topic_facet | Functions of complex variables Mathematics Quaternion Approximation |
| work_keys_str_mv | AT galsoring quaternionicapproximationwithapplicationtosliceregularfunctions AT sabadiniirene quaternionicapproximationwithapplicationtosliceregularfunctions |