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 called Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric. An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX. A special component of the tensor product is the so-called Cartan component Vλ+μ which is the component with maximal highest weight. In particular, we show that an adjoint orbit of U in u contains a unique so-called minimal representative. The homogeneous space X is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on X is commutative. A normal G-variety X is called spherical if a Borel subgroup of G has a dense orbit in X. Orthogonality conditions for ?1, …, ?q naturally impose constraints on the scaling coefficients, which are then called the wavelet matrix. When p is finite, a sequence {λn} of complex numbers will be called aframe forEp provided the inequalities hold for some positive constants A and B and all functions f inEp. In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined onL-shaped regions. This problem is called the "radar ambiguity problem" by Bueckner [5]. A frame in a Hilbert space allows every element in to be written as a linear combination of the frame elements, with coefficients called frame coefficients. A refinable function vector is called orthogonal if {φj(x-α):α∈?n, 1≤j≤r form an orthogonal set of functions in L2(?n). We obtain these last estimates (more precisely, Hp/2-estimates for h(f) by using a slight extension of the Coifman-Meyer-Stein theorem relating the so-called tent-spaces and the Hardy spaces. Functions whose translates span Lp(R) are called Lp-cyclic functions. A wavelet frame is called decomposable whenever it is equivalent to a superwavelet frame of length greater than one. We derive a sharp lower bound for this product in the class of filters with so-called finite effective length and show the absence of minimizers. The discussion is featured with potential V (x) = -n(n + 1) sech2x, which is called in quantum physics P?schl-Teller potential. Spaces called Sv were introduced by Jaffard [16] as spaces of functions characterized by the number ? 2ν(α)j of their wavelet coefficients having a size ? 2-αj at scale j . We introduce a family of linear differential operators ${\cal K}^n =(-i)^nP_n^{\cal M}(i\frac{d}{dt})$, called the chromatic derivatives associated with M, which are orthonormal with respect to a suitably defined scalar product. Such expansions are called the chromatic expansions.

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2008 CNKI－中国知网

2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社