O n eigenfunction expansions for a positive potential function increasing slowly to infinity

DOI10.1016/0022-0396(73)90022-3zbMath0261.34020OpenAlexW2066324470MaRDI QIDQ2560531

C. G. C. Pitts

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90022-3

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) General harmonic expansions, frames (42C15) Ordinary differential operators (34L99)

Related Items (3)

An Equiconvergence Theorem for a Class of Eigenfunction Expansions ⋮ On the divergence in rth mean of a class of eigenfunction expansions ⋮ The Schrödinger equation as a singular perturbation problem

Cites Work

• Unnamed Item
• ASYMPTOTIC APPROXIMATIONS TO SOLUTIONS OF A SECOND-ORDER DIFFERENTIAL EQUATION
• Convergence of Eigenfunction Expansions Under Fourier Conditions. I
• AN EQUICONVERGENCE RESULT OF EIGENFUNCTION EXPANSIONS FOR A POSITIVE INCREASING POTENTIAL FUNCTION
• SIMPLIFIED ASYMPTOTIC APPROXIMATIONS TO SOLUTIONS OF A SECOND-ORDER DIFFERENTIAL EQUATION

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