AbstractWe study the decomposition of the space L2(Sn−1) under the actions of the complex and quaternionic unitary groups. We give an explicit basis for the space of zonal functions, which in the second case takes account of the action of the group of quaternions of norm 1. We derive applications to hermitian lattices
In this paper, we are mainly interested in the construction of certain Hilbert spaces of holomorphic...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
In this paper we introduce the quaternionic Witt basis in H-m = H circle times(R) R-m, m = 4n. We th...
Let G be the unitary group of the hyperbolic hermitian space with rank two over a quaternion divisio...
We introduce a multi-parameter family of bases in the Hilbert space L2(R) that are associated to a s...
Given a quadratic extension L/K of fields and a regular l-Hermitian space (V,h) of finite dimension ...
AbstractIn this paper, we study the L2 functions on U(2n)/O(2n) and Mp(n,R). We relate them using th...
AbstractThis paper applies the theory of operator-valued Bessel functions on Schrödinger-Fock spaces...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
By exploiting the Fueter theorem, we give new formulas to compute zonal harmonic functions in any d...
We propose a unitary diagonalisation of a special class of quaternion matrices, the so-called η-Herm...
Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces...
We propose a unitary diagonalisation of a special class of quaternion matrices, the so-called ηη-Her...
AbstractWe propose a unitary diagonalisation of a special class of quaternion matrices, the so-calle...
This investigation is designed to find quaternion operators which will generate selected space group...
In this paper, we are mainly interested in the construction of certain Hilbert spaces of holomorphic...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
In this paper we introduce the quaternionic Witt basis in H-m = H circle times(R) R-m, m = 4n. We th...
Let G be the unitary group of the hyperbolic hermitian space with rank two over a quaternion divisio...
We introduce a multi-parameter family of bases in the Hilbert space L2(R) that are associated to a s...
Given a quadratic extension L/K of fields and a regular l-Hermitian space (V,h) of finite dimension ...
AbstractIn this paper, we study the L2 functions on U(2n)/O(2n) and Mp(n,R). We relate them using th...
AbstractThis paper applies the theory of operator-valued Bessel functions on Schrödinger-Fock spaces...
Let H be a right quaternionic Hilbert space and let T be a quaternionic normal operator with domain ...
By exploiting the Fueter theorem, we give new formulas to compute zonal harmonic functions in any d...
We propose a unitary diagonalisation of a special class of quaternion matrices, the so-called η-Herm...
Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces...
We propose a unitary diagonalisation of a special class of quaternion matrices, the so-called ηη-Her...
AbstractWe propose a unitary diagonalisation of a special class of quaternion matrices, the so-calle...
This investigation is designed to find quaternion operators which will generate selected space group...
In this paper, we are mainly interested in the construction of certain Hilbert spaces of holomorphic...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
In this paper we introduce the quaternionic Witt basis in H-m = H circle times(R) R-m, m = 4n. We th...
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