THE LEGENDRE POLYNOMIALS UNDER A LEFT DEFINITE ENERGY NORM

DOI10.1080/16073606.1993.9631747zbMath0798.34031OpenAlexW1968887289MaRDI QIDQ4288090

Allan M. Krall, Lance L. Littlejohn

Publication date: 1 November 1994

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1993.9631747

zbMATH Keywords

spectrumeigenfunctionsboundary value problemLegendre operatorleft definite energy norm

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

A general left-definite theory for certain self-adjoint operators with applications to differential equations, THE LEGENDRE TYPE OPERATOR IN A LEFT DEFINITE HILBERT SPACE, SELF-ADJOINTNESS FOR THE WEYL PROBLEM UNDER AN ENERGY NORM, On properties of the Legendre differential expression, A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation, Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator

Cites Work

• ON SOME PROPERTIES OF THE LEGENDRE TYPE DIFFERENTIAL EXPRESSION
• REGULAR LEFT DEFINITE BOUNDARY VALUE PROBLEMS OF EVEN ORDER