Probability Measures on Groups X:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1991
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory" |
| Beschreibung: | 1 Online-Ressource (IX, 498 p) |
| ISBN: | 9781489923646 9781489923660 |
| DOI: | 10.1007/978-1-4899-2364-6 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781489923646 9781489923660 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857176 |
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| physical | 1 Online-Ressource (IX, 498 p) |
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| spelling | Heyer, Herbert Verfasser aut Probability Measures on Groups X edited by Herbert Heyer Boston, MA Springer US 1991 1 Online-Ressource (IX, 498 p) txt rdacontent c rdamedia cr rdacarrier The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory" Mathematics Group theory Topological Groups Topological Groups, Lie Groups Measure and Integration Group Theory and Generalizations Mathematik https://doi.org/10.1007/978-1-4899-2364-6 Verlag Volltext |
| spellingShingle | Heyer, Herbert Probability Measures on Groups X Mathematics Group theory Topological Groups Topological Groups, Lie Groups Measure and Integration Group Theory and Generalizations Mathematik |
| title | Probability Measures on Groups X |
| title_auth | Probability Measures on Groups X |
| title_exact_search | Probability Measures on Groups X |
| title_full | Probability Measures on Groups X edited by Herbert Heyer |
| title_fullStr | Probability Measures on Groups X edited by Herbert Heyer |
| title_full_unstemmed | Probability Measures on Groups X edited by Herbert Heyer |
| title_short | Probability Measures on Groups X |
| title_sort | probability measures on groups x |
| topic | Mathematics Group theory Topological Groups Topological Groups, Lie Groups Measure and Integration Group Theory and Generalizations Mathematik |
| topic_facet | Mathematics Group theory Topological Groups Topological Groups, Lie Groups Measure and Integration Group Theory and Generalizations Mathematik |
| url | https://doi.org/10.1007/978-1-4899-2364-6 |
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