Original Articles

THE LEGENDRE POLYNOMIALS UNDER A LEFT DEFINITE ENERGY NORM

Published in: Quaestiones Mathematicae
Volume 16 , issue 4 , 1993 , pages: 393–403

DOI: 10.1080/16073606.1993.9631747

Author(s): AllanM. Krall McAllister Building, , LanceL. Littlejohn Department of Mathematics,

Keywords: 34A30 , 34B05 , 34B20 , 34B25

Abstract

The Legendre operator ly = -((1—x ²)y′)′ + ¼y, under boundary constraints lim _x→±1 (1—x ²)y′(x) = 0 is shown to be self-adjoint in a space with inner product

« SUBLINEAR OPERATORS BETWEEN BANACH LATTICES

GENERALIZED ERMAKOV SYSTEMS IN TERMS OF sl(2,R) INVARIANTS »

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Original Articles

THE LEGENDRE POLYNOMIALS UNDER A LEFT DEFINITE ENERGY NORM

Abstract

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