Asymptotic inversion of convolution operators

DOI10.1007/BF02685883zbMath0298.44012WikidataQ100744210 ScholiaQ100744210MaRDI QIDQ1214613

Harold Widom

Publication date: 1974

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1974__44__191_0

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (9)

Trace theorems of Szegő type in the singular case. ⋮ On the solvability of a class of second kind integral equations on unbounded domains ⋮ Szegö's limit theorem: The higher-dimensional matrix case ⋮ WIENER-HOPE Determinants with Rational Symbols ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ Asymptotic formulas for Toeplitz and Wiener-Hopf operators ⋮ Generalization of G. Szegö's limit theorem to the multidimensional case ⋮ The Finite Section Method for Two-dimensional Wiener-Hopf Integral Operators in Lp with Piecewise Continuous Symbols ⋮ Inversion de la matrice de Toeplitz en d dimensions et développement asymptotique de la trace de l'inverse à l'ordre d. (Inversion of the Toeplitz matrix in d dimensions and asymptotic development of the trace of the inverse of order d)

Cites Work

• A norm inequality for a 'finite-section' Wiener-Hopf equation
• On a theorem of Szegö, Kac, and Baxter
• The strong Szegö limit theorem
• Asymptotic behavior of Toeplitz matrices and determinants
• On a formula of Kac and Achiezer. II
• Toeplitz matrices, translation kernels and a related problem in probability theory
• Analytic functions of several Banach algebra elements
• A Theorem on Translation Kernels in n Dimensions
• ON SZEGÖ'S LIMIT THEOREM
• On the Eigenvalues of Generalized Toeplitz Matrices.
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