Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Fulling, S.A. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fulling, S.A. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zayed, E.M.E. (1996)
Portugaliae Mathematica
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Khelifi, Abdessatar (2007)
Applied Mathematics E-Notes [electronic only]
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Oktay Veliev (2013)
Open Mathematics
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We obtain uniform asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators L t (q) with a potential q ∈ L 1[0,1] and t-periodic boundary conditions, t ∈ (−π, π]. Using these formulas, we find sufficient conditions on the potential q such that the number of spectral singularities in the spectrum of the Hill operator L(q) in L 2(−∞,∞) is finite. Then we prove that the operator L(q) has no spectral singularities at infinity and it is an asymptotically...
Goel, Sharad, Montenegro, Ravi, Tetali, Prasad (2006)
Electronic Journal of Probability [electronic only]
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Brummelhuis, Raymond, Siedentop, Heinz, Stockmeyer, Edgardo (2002)
Documenta Mathematica
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Zafer Ercan, S. Onal (2006)
Czechoslovak Mathematical Journal
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We present a simple proof of a Banach-Stone type Theorem. The method used in the proof also provides an answer to a conjecture of Cao, Reilly and Xiong.
Dambrosio, W. (1999)
Rendiconti del Seminario Matematico
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Brasseur, Clara E., Grady, Ryan E., Prassidis, Stratos (2009)
The Electronic Journal of Combinatorics [electronic only]
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Cañada, A., Ureña, A.J. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Konstanty Holly (1994)
Annales Polonici Mathematici
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We reduce the convolution of radius functions to that of 1-variable functions. Then we present formulas for computing convolutions of an abstract radius function on ℝ³ with various integral kernels - given by elementary or discontinuous functions. We also prove a theorem on the asymptotic behaviour of a convolution at infinity. Lastly, we deduce some estimates which enable us to find the asymptotics of the velocity and pressure of a fluid (described by the Navier-Stokes equations) in...