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Characteristic scales of bounded L2 sequences (CROSBI ID 250886)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Erceg, Marko ; Lazar, Martin Characteristic scales of bounded L2 sequences // Asymptotic Analysis, 109 (2018), 3-4; 171-192. doi: 10.3233/ASY-181474

Podaci o odgovornosti

Erceg, Marko ; Lazar, Martin

engleski

Characteristic scales of bounded L2 sequences

Practical applications of semiclassical measures are tightly connected with a so called oscillatory property, prevailing leakage of information related to high frequencies. In this paper we propose a complementary, concentratory property which prevents loss of information related to low frequencies. We demonstrate that semiclassical measures attain the best performance level if both the properties are satisfied simultaneously, and address a question if this is possible to achieve for an arbitrary bounded L 2 sequence, providing a negative answer. Comparison of H- measures with semiclassical ones is presented, showing precedence of the latter for problems exhibiting just a single frequency scale. Finally, we present some (strong) compactness results based on the above properties.

semiclassical measures, H-measures, oscillatory sequence, concentratory sequence, characteristic scale, Kolmogorov-Riesz compactness theorem

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Podaci o izdanju

109 (3-4)

2018.

171-192

objavljeno

0921-7134

1875-8576

10.3233/ASY-181474

Povezanost rada

Matematika

Poveznice
Indeksiranost