Biorthogonality and Integration
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منابع مشابه
Biorthogonality Condition for Axisymmetric Stokes Flow in Spherical Geometries
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding creeping flow problem.
متن کاملElliptic Integrable Systems Padé Interpolation Table and Biorthogonal Rational Functions
We study recurrence relations and biorthogonality properties for polynomials and rational functions in the problem of the Padé interpolation in the usual scheme and in the scheme with prescribed poles and zeros. The main result is deriving explicit orthogonality and biorthogonality relations for polynomials and rational functions in both schemes. We show that the simplest linear restrictions in...
متن کاملA Combinatorial Representation with Schroder Paths of Biorthogonality of Laurent Biorthogonal Polynomials
Combinatorial representation in terms of Schröder paths and other weighted plane paths are given of Laurent biorthogonal polynomials (LBPs) and a linear functional with which LBPs have orthogonality and biorthogonality. Particularly, it is clarified that quantities to which LBPs are mapped by the corresponding linear functional can be evaluated by enumerating certain kinds of Schröder paths, wh...
متن کاملBiorthogonality Condition for Creeping Motion in Annular Trenches
The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding Stokes flow problem.
متن کاملIncorporation of biorthogonality into lapped transforms for audio compression
Acoustic signal representations used in current audio coding algorithms can be improved by the incorporation of biorthogonality into Malvar's Extended Lapped Transform (ELT). Biorthogonality allows more exibility in the design of the analysis and synthesis windows by increasing the number of degrees of freedom. This paper examines this increase for two special cases and demonstrates the importa...
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تاریخ انتشار 2010