Applications of Tauberian theorems in some problems in mathematical physics

DOI10.1007/S11232-008-0140-6zbMath1155.81331OpenAlexW2079207320MaRDI QIDQ1002675

Yu. N. Drozhzhinov, B. I. Zav'yalov

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0140-6

zbMATH Keywords

Cauchy problemSchrödinger equationpartial differential equationBanach spacegeneralized functionholomorphic functionTauberian theorem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

On a problem of multidimensional Tauberian theory ⋮ Tauberian class estimates for vector-valued distributions ⋮ A multidimensional Tauberian theorem for Laplace transforms of ultradistributions

Cites Work

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• MULTIDIMENSIONAL GENERALIZATION OF A TAUBERIAN THEOREM OF HARDY AND LITTLEWOOD
• A Wiener-type Tauberian theorem for generalized functions of slow growth
• Multidimensional Tauberian theorems for Banach-space valued generalized functions
• Tauberian theorems for generalized functions with values in Banach spaces
• Tauberian Theory
• Regularly varying functions
• Tauberian theorems

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