- Title
- On twisted Fourier analysis and convergence of Fourier series on discrete groups
- Creator
- Bédos, Erik; Conti, Roberto
- Relation
- Journal of Fourier Analysis and Applications Vol. 15, Issue 3, p. 336-365
- Publisher Link
- http://dx.doi.org/10.1007/s00041-009-9067-z
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2009
- Description
- We study norm convergence and summability of Fourier series in the setting of reduced twisted group C*-algebras of discrete groups. For amenable groups, Følner nets give the key to Fejér summation. We show that Abel-Poisson summation holds for a large class of groups, including e.g. all Coxeter groups and all Gromov hyperbolic groups. As a tool in our presentation, we introduce notions of polynomial and subexponential H-growth for countable groups w.r.t. proper scale functions, usually chosen as length functions. These coincide with the classical notions of growth in the case of amenable groups.
- Subject
- twisted group C*-algebra; Fourier series; Fejér summation; Abel-Poisson summation; amenable group; Haagerup property; length function; polynomial growth; subexponential growth
- Identifier
- uon:7693
- Identifier
- http://hdl.handle.net/1959.13/808580
- Identifier
- ISSN:1069-5869
- Reviewed
- Hits: 2530
- Visitors: 2509
- Downloads: 0
Thumbnail | File | Description | Size | Format |
---|