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orthogonality relations
The orthogonality relations for eigenmodes are presented.
      
Symmetry properties, orthogonality relations and sum rules for the 6-pq and 9-pq symbols are given with phase factors and degeneracy labels specified.
      
They yield bispinors of the plane-wave states of the tachyon, their interpretation and covariant orthogonality relations satisfied by them.
      
It will be shown that these basis functions satisfy certain orthogonality relations which allow to establish an effective procedure for parameter identification.
      
These results by Woronowicz and Koornwinder have been proved by using the corepresentation theory of the quantumSU(2) group and Schur's orthogonality relations for matrix elements of irreducible unitary corepresentations.
      
After defining the underlying von Neumann algebra of we use a certain class of q-hypergeometric functions and their orthogonality relations to construct the comultiplication.
      
We explicitly compute the matrix elements of certain corepresentations and obtain orthogonality relations for these elements.
      
A generalization of the orthogonality relations of Green functions
      
We prove the orthogonality relations for characters of GLn(F) with F a local field of positive characteristic.
      
We discuss: recursion formula, generating function, Christoffel-Darboux identity, orthogonality relations and the moment functional.
      
This is used to obtain new orthogonality relations for the zonal polynomials, and to derive expressions for the coefficients in the zonal polynomial expansion of homogenous symmetric polynomials.
      
It is known that the common denominator of the Hermite-Padé approximants of a mixed Angelesco-Nikishin system shares orthogonality relations with respect to each function in the system.
      
In the second case we obtain the known orthogonality relations for the big q -Jacobi polynomials.
      
The required orthogonality relations for the two sets of coupled radial eigenfunctions are derived.
      
We present a finite-dimensional system of discrete orthogonality relations for the Hall-Littlewood polynomials.
      
A compact determinantal formula for the weights of the discrete orthogonality measure is formulated in terms of a Gaudin-type conjecture for the normalization constants of a dual system of orthogonality relations.
      
It is shown on the basis of simple orthogonality relations that all least change secant updates under additional linear constraints can be represented as projected rank one or rank two corrections.
      
A note on bi-orthogonality relations for elastic cylinders of general cross section
      
On Stroh orthogonality relations: An alternative proof applicable to Lekhnitskii and Eshelby theories of an anisotropic body
      
This paper establishes that the Stroh orthogonality relations for an anisotropic body are a direct consequence of the fact that the system of equations of equilibrium is self-adjoint and positive definite.
      
 

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