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Generalized eigenfunctions and a Borel Theorem on the Sierpinski Gasket
Generalized eigenfunctions Borel Theorem Sierpinski Gasket
2015/12/10
There is a well developed theory (see [5, 9]) of analysis on certain types of fractal sets, of which the Sierpinski Gasket (SG) is the simplest non-trivial example. In this theory the fractals are vie...
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
Nevanlinna functions negative square
2010/11/15
A generalized Nevanlinna function $Q(z)$ with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation d...
Rainwater-Simons-type convergence theorems for generalized convergence methods
Rainwater-Simons-type convergence theorems generalized convergence methods
2010/11/17
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence. In fact we ...
The Generalized Hyers--Ulam--Rassias Stability of a Cubic Functional Equation
Hyers--Ulam--Rassias stability Quadratic function Cubic function
2010/2/26
In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \g...
Asymptotic Behavior of the Zero Solutions to Generalized Pipe and Rotating Shaft Equations
Stability Lyapunov function
2010/3/1
A non-autonomous partial differential equation describing the dynamics of a uniform pipe and a system describing the dynamics of a rotating shaft are considered.Sufficient conditions for the global as...
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Fermionic formulas Kostka polynomials coset branching functions
2010/10/29
Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently established bijecti...