Introduction to Harmonic Analysis and Generalized Gelfand Pairs

By G. Dijk. 2009

120 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f30a880683882bc7b19977f3dfb03acbe8120192

How researchers see this paper

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In Computational Theory and Mathematics

1. T. D. Laat
2. Uffe Haagerup
3. Karl-Hermann Neeb

Citations in the corpus

• Simple Lie groups without the approximation property (2012, background): “For an overview of the theory of Gelfand pairs and spherical functions, we refer the reader to [14], [9].”
• Simple Lie groups without the Approximation Property II (2013, methodology): “We refer to [8] and [14] for a thorough account of the theory of Gelfand pairs.”
• On Differentiable Vectors for Representations of Infinite Dimensional Lie Groups (2010, background): “ery irreducible continuous unitary representation (π,H) of G. For finite dimensional Lie groups there exists a rich theory of generalized Gelfand pairs with many applications in harmonic analysis (cf. [vD09]). It is a very worthwhile project to explore this concept also for Banach–Lie groups, e.g., f”