Functional equations on hypergroups:
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful con...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2013
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate "marriage" where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups. This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods - and, sometimes, a new world of unexpected difficulties. Contents: Introduction; Polynomial Hypergroups in One Variable; Polynomial Hypergroups in Several Variables; Sturm-Liouville Hypergroups; Two-Point Support Hypergroups; Spectral Analysis and Synthesis on Polynomial Hypergroups; Spectral Analysis and Synthesis on Sturm-Liouville Hypergroups; Moment Problems on Hypergroups; Special Functional Equations on Hypergroups; Difference Equations on Polynomial Hypergroups; Stability Problems on Hypergroups |
| Physical Description: | xvii, 191 p |
| ISBN: | 9789814407014 |
Staff View
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| 520 | |a The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate "marriage" where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups. This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods - and, sometimes, a new world of unexpected difficulties. Contents: Introduction; Polynomial Hypergroups in One Variable; Polynomial Hypergroups in Several Variables; Sturm-Liouville Hypergroups; Two-Point Support Hypergroups; Spectral Analysis and Synthesis on Polynomial Hypergroups; Spectral Analysis and Synthesis on Sturm-Liouville Hypergroups; Moment Problems on Hypergroups; Special Functional Equations on Hypergroups; Difference Equations on Polynomial Hypergroups; Stability Problems on Hypergroups | ||
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Record in the Search Index
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| author | Szekelyhidi, Laszlo |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638931 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814407014 |
| language | English |
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| physical | xvii, 191 p |
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| publishDate | 2013 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Szekelyhidi, Laszlo Verfasser aut Functional equations on hypergroups Laszlo Szekelyhidi Singapore World Scientific Pub. Co. c2013 xvii, 191 p txt rdacontent c rdamedia cr rdacarrier The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate "marriage" where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups. This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods - and, sometimes, a new world of unexpected difficulties. Contents: Introduction; Polynomial Hypergroups in One Variable; Polynomial Hypergroups in Several Variables; Sturm-Liouville Hypergroups; Two-Point Support Hypergroups; Spectral Analysis and Synthesis on Polynomial Hypergroups; Spectral Analysis and Synthesis on Sturm-Liouville Hypergroups; Moment Problems on Hypergroups; Special Functional Equations on Hypergroups; Difference Equations on Polynomial Hypergroups; Stability Problems on Hypergroups Group theory Functional equations Hypergruppe (DE-588)4561851-3 gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Hypergruppe (DE-588)4561851-3 s Funktionalgleichung (DE-588)4018923-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814407007 http://www.worldscientific.com/worldscibooks/10.1142/8481#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Szekelyhidi, Laszlo Functional equations on hypergroups Group theory Functional equations Hypergruppe (DE-588)4561851-3 gnd Funktionalgleichung (DE-588)4018923-5 gnd |
| subject_GND | (DE-588)4561851-3 (DE-588)4018923-5 |
| title | Functional equations on hypergroups |
| title_auth | Functional equations on hypergroups |
| title_exact_search | Functional equations on hypergroups |
| title_full | Functional equations on hypergroups Laszlo Szekelyhidi |
| title_fullStr | Functional equations on hypergroups Laszlo Szekelyhidi |
| title_full_unstemmed | Functional equations on hypergroups Laszlo Szekelyhidi |
| title_short | Functional equations on hypergroups |
| title_sort | functional equations on hypergroups |
| topic | Group theory Functional equations Hypergruppe (DE-588)4561851-3 gnd Funktionalgleichung (DE-588)4018923-5 gnd |
| topic_facet | Group theory Functional equations Hypergruppe Funktionalgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8481#t=toc |
| work_keys_str_mv | AT szekelyhidilaszlo functionalequationsonhypergroups |