We develop the left-definite analysis associated with the self-adjoint Jacobi operator Ak (α,
β), generated from the classical second-order Jacobi differential expressionin the Hilbert …

In this paper, we develop the left-definite spectral theory associated with the self-adjoint
operator A (k) in L2 (− 1, 1), generated from the classical second-order Legendre differential …

This book provides a modern survey of some basic properties of Sturm-Liouville problems
and to bring the reader to the forefront of knowledge of some areas of the theory. For …

The Legendre equation has interior singularities at− 1 and+ 1. The celebrated classical
Legendre polynomials are the eigenfunctions of a particular self-adjoint operator in L2 (− 1 …

This paper surveys the known properties and presents many new results for the Legendre
differential expression and the associated linear differential operators in its right-definite and …

In this paper we study the Hilbert scales defined by the associated Legendre functions for
arbitrary integer values of the parameter. This problem is equivalent to studying the left …

In the past several years, there has been considerable progress made on a general left-
definite theory associated with a self-adjoint operator A that is bounded below in a Hilbert …

In this paper, we develop the left-definite spectral theory associated with the self-adjoint
operator Aμ in L 2 (R,| t| 2μexp (− t 2)), generated from the Dunkl second-order Hermite …

As an application of a general left-definite spectral theory, Everitt, Littlejohn and Wellman, in
2002, developed the left-definite theory associated with the classical Legendre self-adjoint …

Karl H. Hofmann, Sidney A. Morris The Structure of Compact Groups Page 1 Karl H.
Hofmann, Sidney A. Morris The Structure of Compact Groups Page 2 De Gruyter Studies in …