Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Wiener amalgam spaces with respect to quasi-Banach spaces

100%

Rauhut H.

Colloquium Mathematicum

2007

tom 109

nr 2

345-362

We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.

Coorbit space theory for quasi-Banach spaces

100%

Rauhut H.

Studia Mathematica

2007

tom 180

nr 3

237-253

We generalize the classical coorbit space theory developed by Feichtinger and Gröchenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit spaces defined with respect to quasi-Banach spaces. These atomic decompositions are used to prove fast convergence rates of best n-term approximation schemes. We apply the abstract theory to time-frequency analysis of modulation spaces $M^{p,q}_{m}$, 0 < p,q ≤ ∞.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Rauhut H.

2 2007

Wyniki wyszukiwania

Wiener amalgam spaces with respect to quasi-Banach spaces

Coorbit space theory for quasi-Banach spaces