The Hausdorff moments in statistical mechanics

DOI10.1063/1.530282zbMath0799.44006OpenAlexW2051692710MaRDI QIDQ4276793

Giovanni Alberto Viano, Enrico Scalas

Publication date: 7 February 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://sro.sussex.ac.uk/id/eprint/50332/1/1.530282.pdf

zbMATH Keywords

Laplace transformregularizationHausdorff moment problemill-posed problemstatistical mechanicsdensity of statesseries representationPollaczek polynomialsWatson resummation

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Numerical methods for integral transforms (65R10) Moment problems (44A60)

Related Items (2)

Watson resummation of a class of Hausdorff-transformed power series ⋮ Generalized Hausdorff inverse moment problem

Cites Work

• Solution of the Hausdorff moment problem by the use of Pollaczek polynomials
• Vibration Frequency Spectra of Disordered Lattices. I. Moments of the Spectra for Disordered Linear Chains
• An information theoretical approach to inversion problems
• Group Representation in a Continuous Basis: An Example
• The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal

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