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A NEW IDENTITY FOR PARSEVAL FRAMES
Bessel sequence Frame Hilbert space Parseval frame Parseval Frame Identity
2015/9/29
In this paper we establish a surprising new identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss ...
Function-Private Identity-Based Encryption: Hiding the Function in Functional Encryption
Function privacy identity-based encryption functional encryption
2015/8/5
In light of such an inherent difficulty, any meaningful notion of function privacy must be based
on the minimal assumption that, from the adversary's point of view, identities that correspond to...
On the Permanents of Complements of the Direct Sum of identity Matrices
Complement, permanent magnet straight, identity matrix
2015/7/14
On the Permanents of Complements of the Direct Sum of identity Matrices.
Twist1 and Etv5 are part of a transcription factor network defining T helper cell identity
Twist1 Etv5
2015/5/21
CD4 T helper cells control immunity to pathogens and the development of inflammatory disease by acquiring the ability to secrete effector cytokines. Cytokine responsiveness is a critical component of ...
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
creative telescoping combinatorial telescoping partition q-little Jacobi polynomial
2014/6/3
Recently Andrews proposed a problem of finding a combinatorial proof of an identity on the q-little Jacobi polynomials. We give a classification of certain triples of partitions and find bijections ba...
The Mikheev identity in right Hom-alternative algebras
Right Hom-alternative algebra Mikheev identity Rings and Algebras
2012/5/9
It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra...
Real analytic expansion of spectral projection and extension of Hecke-Bochner identity
Coxeter group Hecke-Bochner identity Heisenberg group Laguerre polynomials spherical harmonics twisted convolution
2012/4/16
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
Classification of poset-block spaces admitting MacWilliams-type identity
Classification poset-block spaces admitting MacWilliams-type identity
2012/3/1
In this work we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical and at any level of the poset, all the blocks have the same dimension. When t...
Resolutions of identity for some non-Hermitian Hamiltonians II: proofs
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated func...
Resolutions of identity for some non-Hermitian Hamiltonians I: exceptional point in continuous spectrum
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entir...
A binomial identity on the least prime factor of an integer
binomial identity least prime factor of an integer Number Theory
2011/9/22
Abstract: An identity for binomial symbols modulo an odd positive integer $n$ relating to the least prime factor of $n$ is proved. The identity is discussed within the context of Pell conics.
Identity Method for Particle Number Fluctuations and Correlations
hadron chemical fluctuations incomplete particle identification identity method
2011/7/20
An incomplete particle identification distorts the observed event-by-event fluctuations of the hadron chemical composition in nucleus-nucleus collisions. A new experimental technique called the {\em i...
An identity on the $2m$-th power mean value of the generalized Gauss sums
2m-th power mean exact calculating formula generalized quadratic Gauss sums Number Theory
2011/9/5
Abstract: In this paper, using combinatorial and analytic methods, we prove an exact calculating formula on the $2m$-th power mean value of the generalized quadratic Gauss sums for $m\geq 2$. This sol...
Extension of Euler Lagrange identity by superquadratic power functions
Euler Lagrange Identity Bohr’s inequality Convexity Superquadracity
2011/9/2
Abstract: Using convexity and superquadracity we extend in this paper Euler Lagrange identity, Bohr's inequalitiy and the triangle inequality.
Abstract: The AZ identity is a generalization of the LYM-inequality. In this paper, we will give a generalization of the AZ identity.