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Bruguieres, Lack and Virelizier have recently obtained a vast generalization
of Sweedler's Fundamental Theorem of Hopf modules, in which the role of the
Hopf algebra is played by a bimonad. We pres...
Oblique Derivative Problem for Generalized Lavrent 0 ev-Bitsadze Equations
Existence and uniqueness of solutions oblique derivative problem
2014/9/26
In this article, we first give the representation of solutions for the oblique
derivative boundary value problem of generalized Lavrent
0
ev-Bitsadze equations including
the Lavrent
0
ev-Bitsadz...
Quadratic harnesses from generalized beta integrals
Quadratic conditional moments generalized beta integrals harnesses
2010/12/13
We use generalized beta integrals to construct examples of Markov processes with linear regressions, and quadratic second conditional moments.
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...
Symmetry Analysis for a Generalized Kadomtsev-Petviashvili Equation
generalized Kadomtsev-Petviashvili equation Lie algebra arbitrary functions
2010/4/2
A generalized Kadomtsev-Petviashvili equation (GKPE) $(u_t+u u_x + \beta(t)u +\gamma(t)u_{xxx})_x+\sigma(t)u_{yy}\ = \ 0$ is shown to admit an infinite-dimensional Lie group of symmetries when $\bt(t)...
Bilinear Equations and Bäcklund Transformation for Generalized Ultradiscrete Soliton Solution
Bilinear Equations Bä cklund Transformation Generalized Ultradiscrete Soliton Solution
2010/4/2
Ultradiscrete soliton equations and B\"acklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscrete Toda equation ...
The Reverse and Generalized Poincaré Inequality
equivalent norms unbounded operators Poincar´ e inequality Banach space embeddings Hilbert spaces
2009/6/16
In this paper we show that, by the use of an equivalent norm, one can make unbounded
linear operators exhibit one of the most important properties of bounded operators
without using the graph norm. ...
Generalized Dunkl-Sobolev Spaces of Exponential Type and Applications
Dunkl operators Dunkl-Bessel-Laplace operator Generalized Dunkl-Sobolev spaces of exponential type Pseudo differential-difference operators Reproducing kernels
2010/1/22
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...
ON THE FINE SPECTRUM OF THE GENERALIZED DIFFERENCE OPERATOR Dv OVER THE SEQUENCE SPACE c0
Spectrum of an operator Sequence space c0
2008/11/28
ON THE FINE SPECTRUM OF THE GENERALIZED DIFFERENCE OPERATOR Dv OVER THE SEQUENCE。
GENERALIZED HANKEL OPERATORS ON THE WHITE NOISE DISTRIBUTIONS
Infinite dimensional entire functions with growth condition generalized Hankel operators and associated form symbol of operators
2008/11/26
In this paper we introduce and investigate Hankel operators on infinite dimensional
entire functionals with growth conditions. First, we prove that this generalized Hankel
operator is well defined a...
GENERALIZED BOCHNER-HECKE THEOREMS AND APPLICATION TO HOMOGENEOUS DISTRIBUTIONS IN DUNKL’S THEORY
Dunkl transform Bochner-Hecke theorems Dunkl transform of homogeneous distributions
2008/11/25
In this paper we prove generalized Bochner-Hecke theorems for the Dunkl transform
on Rd, and we give an application of these theorems to homogeneous distributions .
COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR GENERALIZED ( f ;g)¡NONEXPANSIVE MAPPINGS
Common fixed points invariant approximations generalized ( f g)¡ nonexpansive mappings weakly compatible mappings
2008/11/25
In this paper, we prove that there is the unique common fixed point of T; f ;g if
T is generalized ( f ;g)¡contractive and both (T; f ) and (T;g) are weakly compatible
in a metric space (E;d)....
A GENERALIZED CHAIN RULE FOR FORMAL POWER SERIES
Formal power series composition chain rule right distributive law
2008/11/25
Given a formal power series g(x) = P1n=0 bn xn and a nonunit f(x) = P1 n=1 an xn,
it is well-known that the derivative of the composition of formal power series satisfies the
Chain Rule, that is, (g...
Hahn-Banach Theorem in Generalized 2-Normed Spaces
Generalized 2-norm bounded 2-linear operator Hahn-Banach theorem
2008/11/25
In this paper we prove an extension Hahn-Banach theorem in the context of generalized
2-normed spaces.
Singular Integrals and Commutators in Generalized Morrey Spaces
generalized Morrey spaces singular integrals commutators Calder\'on--Zygmund kernel BMO VMO
2007/12/13
We consider a singular an integral operator ${\mathscr K}$ with a variable Calder\'on--Zygmund type kernel $k(x;\xi),$ $x\in {\Bbb R}^n,$ $\xi\in {\Bbb R}^n\sm\{0\},$ satisfying a mixed homogeneity co...