3 citations · 3 across the 6 of their papers we have counts for
6 papers
Some spectral properties of Rooms and Passages domains and their skeletons
B. M. Brown, W. D. Evans, I. G. Wood
In this paper we investigate spectral properties of Lapla- cians on Rooms and Passages domains. In the first part, we use Dirichlet- Neumann bracketing techniques to show that for…
Absolute continuity and spectral concentration for slowly decaying potentials
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
We consider the spectral function for the Sturm-Liouville equation on with the boundary condition and where has slow…
Extensions of a New Algorithm for the Numerical Solution of Linear Differential Systems on an Infinite Interval
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
This paper is part of a series of papers in which the asymptotic theory and appropriate symbolic computer code are developed to compute the asymptotic expansion of the solution of…
A new algorithm for computing the asymptotic solutions of a class of linear differential systems
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
This paper reports on a new algorithm to compute the asymptotic solutions of a linear differential system. A feature of the algorithm is the ability to accommodate periodic coeffic…
The Askey-Wilson polynomials and q-Sturm-Lioville problems
B. Malcolm Brown, William Desmond Evans, Mourad E. H. Ismail
We find the adjoint of the Askey-Wilson divided difference operator with respect to the inner procuct on L^2(-1,1,(1-x^2)^-1/2 dx) defined as a Cauchy principle value and show that…
A right inverse of the Askey-Wilson operator
B. Malcolm Brown, Mourad E. H. Ismail
We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator on with weight . The kernel of this integral operato…