Harmonic analysis on compact hypergroups [PDF]
Richard C. Vrem
exaly +6 more sources
Harmonic analysis on central hypergroups and induced representations [PDF]
Hauenschild, Wilfried +2 more
exaly +6 more sources
Characterizations of Orthogonal Polynomials and Harmonic Analysis on Polynomial Hypergroups [PDF]
This work is located at a crossing point between orthogonal polynomials and harmonic analysis. We consider polynomial hypergroups, obtain general results on point and weak amenability of their l1-algebras and solve a problem concerning implications between certain amenability notions.
Stefan Kahler
openaire +2 more sources
Book Review: The harmonic analysis of probability measures on hypergroups [PDF]
Alan L. Schwartz
openaire +3 more sources
W. R. Bloom and H. Heyer Harmonic analysis of probability measures on hypergroups (de Gruyter Studies in Mathematics Vol. 20, de Gruyter, Berlin, New York 1995) vi + 601pp., 3 11 012105 0, about £140. [PDF]
Ν. H. Bingham
openaire +2 more sources
Non-commutative hypergroup of order five [PDF]
We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five even though the minimum order of non-commutative ...
Matsuzawa, Yasumichi +4 more
core +2 more sources
An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal polynomials satisfying a specific but frequently satisfied nonnegative ...
Kahler, Stefan
core +1 more source
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
core +7 more sources
Limit theorems for radial random walks on pxq-matrices as p tends to infinity [PDF]
The radial probability measures on $R^p$ are in a one-to-one correspondence with probability measures on $[0,\infty[$ by taking images of measures w.r.t. the Euclidean norm mapping. For fixed $\nu\in M^1([0,\infty[)$ and each dimension p, we consider i.i.
Rösler, Margit, Voit, Michael
core +2 more sources
Operational calculus and integral transforms for groups with finite propagation speed [PDF]
Let $A$ be the generator of a strongly continuous cosine family $(\cos (tA))_{t\in {\bf R}}$ on a complex Banach space $E$. The paper develops an operational calculus for integral transforms and functions of $A$ using the generalized harmonic analysis ...
Blower, Gordon, Doust, Ian
core +2 more sources

