منابع مشابه
OPERATOR-VALUED Lq → Lp FOURIER MULTIPLIERS
Fourier multiplier theorems provides one of the most important tools in the study of partial differential equations and embedding theorems. They are very often used to establish maximal regularity of elliptic and parabolic differential operator equations. Operator–valued multiplier theorems in Banach–valued function spaces have been discussed extensively in [1, 2, 3, 5, 7, 8, 9, 10, 11, 12 ]. B...
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It is shown that the closure of the set of Fourier coefficients of the Bernoulli convolution μθ parameterized by a Pisot number θ is countable. Combined with results of Salem and Sarnak, this proves that for every fixed θ > 1 the spectrum of the convolution operator f 7→ μθ∗f in L(S) (where S is the circle group) is countable and is the same for all p ∈ (1,∞), namely, {μ̂θ(n) : n ∈ Z}. Our resul...
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In most production-inventory systems, the products are transferred from the production centre to the inventory (warehouse) in subbatchs rather than one at a time. In this paper, mathematical models of such systems for both deterministic and stochastic cases of demand are developed and analysed. Comparison of these new models with the EBQ model shows a considerable loss when applying the ru...
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A semidiscrete multiplier is an operator between a space of functions or distributions on a locally compact Abelian group G on the one hand, and a space of sequences on a discrete subgroup H of G on the other hand, with the property that it commutes with shifts by H. We describe the basic form of such operators and show a number of representation theorems for classical spaces like Lp, C0, etc. ...
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We investigate whether the completeness of a complete orthonormal sequence for L2(IT, 77) is preserved if the sequence is perturbed by multiplying a portion of it by a fixed function. For the particular sequence i(277)-1/2emxi we show that given any xb £ L°°(-77, 77), except lb = 0 a.e., there is a nontrivial portion of Í (2rr)-^ einx\ which will maintain completeness under this perturbation. W...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1986
ISSN: 0373-0956
DOI: 10.5802/aif.1070