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translation
We study certain naturally-defined analytic domains in the complexified groupHC which are invariant under left and right translation byH?.
      
If the variety is a complex affine space and the ring of invariants is isomorphic to a polynomial ring, then the action is conjugate to a translation (Theorem 3).
      
Kronecker webs, bihamiltonian structures, and the method of argument translation
      
Autocorrelation Functions as Translation Invariants in L1 and L2
      
13 (1962), 425-428] states that the collection of nth-order autocorrelation functions ${\cal M} = \{M^n(\cdot): n=1,2,\dots\}$ is a complete set of translation invariants for real-valued L1 functions on a locally compact abelian group.
      
It is shown here that there are proper subsets of ${\cal M}$ that also form a complete set of translation invariants, and these subsets are characterized.
      
This wavelet basis is obtained from three wavelet generators by scaling, translation and rotation, and the wavelets are supported either by one corner triangle or a pair of adjacent triangles in the triangulation of level k - 1.
      
A congruency theorem is proven for an ordered pair of groups of homeomorphisms of a metric space satisfying an abstract dilation-translation relationship.
      
We generalize the celebrated theorem of Stein on the maximal operator of a sequence of translation invariant operators, from the scalar case to vector valued functions.
      
On the translation invariance of wavelet subspaces
      
An examination of the translation invariance of V0 under dyadic rationals is presented, generating a new equivalence relation on the collection of wavelets.
      
Obviously every invariant subspace (under translation and modulation) is cyclic if it has a subspace WH frame.
      
Prolate Spheroidal Wavelets: Translation, Convolution, and Differentiation Made Easy
      
The term "multiscale" indicates that the construction of H(m) is achieved in different scales by an iteration process, determined through the prime integer factorization of m and by repetitive dilation and translation operations on matrices.
      
Reproducing Kernel Hilbert Spaces Associated with Analytic Translation-Invariant Mercer Kernels
      
In this article we study reproducing kernel Hilbert spaces (RKHS) associated with translation-invariant Mercer kernels.
      
A new precise actuator is proposed, which is actuated by the impact force of an end-loaded piezoelectric bimorph cantilever, and bears two degrees of freedom for translation and rotation.
      
In addition, the actuator's performance of translation and rotation were both measured.
      
Rotation, scaling and translation (RST) attacks can desynchronize watermark detection, which causes failure in many watermarking systems.
      
With the reverse solution module of the translation, the module with the exerted translation joint was obtained, which included the location, velocity and acceleration of the parallelogram carriage-branch.
      
 

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