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 algebraicGvarietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothGinvariant divisors having a non void transversal intersection;G has 2r orbits inX.


A special component of the tensor product is the socalled 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 socalled minimal representative.


The homogeneous space X is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of Ginvariant differential operators on X is commutative.


A normal Gvariety 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 twodimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined onLshaped 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(xα):α∈?n, 1≤j≤r form an orthogonal set of functions in L2(?n).


We obtain these last estimates (more precisely, Hp/2estimates for h(f) by using a slight extension of the CoifmanMeyerStein theorem relating the socalled tentspaces and the Hardy spaces.


Functions whose translates span Lp(R) are called Lpcyclic 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 socalled 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?schlTeller 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 ? 2αj 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.

