316 citations
- University of GothenburgSE20 papers
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8 papers · 1 filter
Riesz transforms for Jacobi expansions
Adam Nowak, Peter Sjögren
We define and study Riesz transforms and conjugate Poisson integrals associated with multi-dimensional Jacobi expansions.
The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
Adam Nowak, Peter Sjögren
We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional s…
On the H^1-L^1 boundedness of operators
S. Meda, P. Sjogren, M. Vallarino
We prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly boun…
An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Hjalmar Rosengren
Elliptic 6j-symbols first appeared in connection with solvable models of statistical mechanics. They include many interesting limit cases, such as quantum 6j-symbols (or q-Racah po…
New transformations for elliptic hypergeometric series on the root system An
Hjalmar Rosengren
Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof…
On a hypergeometric identity of Gelfand, Graev and Retakh
Christian Krattenthaler, Hjalmar Rosengren
A hypergeometric identity equating a triple sum to a single sum, originally found by Gelfand, Graev and Retakh [Russian Math. Surveys 47 (1992), 1-88] by using systems of different…