A theorem concerning differentiability of eigenvectors and eigenvales with some applications
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Publication:3786735
DOI10.1080/00036818808839766zbMath0644.33009OpenAlexW2008965666MaRDI QIDQ3786735
Publication date: 1988
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036818808839766
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items
Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials, Concavity and convexity of eigenvalues, Perturbation of the coefficients in the recurrence relation of a class of polynomials, Perron-frobenius-type theorems for tridiagonal operators, Convexity results for the largest zero and functions involving the largest zero ofq-associated polynomials, Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials, Applications of the differentiability of eigenvectors and eigenvalues to a perturbed harmonic oscillator, Convexity of the largest zero of the ultraspherical polynomials, Minimal representations of unitary operators and orthogonal polynomials on the unit circle, Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
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