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The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
      
A technique for the solution of convolution equations arising in robotics is presented and the corresponding regularized problem is solved explicity for particular functions.
      
The corresponding results for vector refinement equations are also discussed.
      
Generalized dirac operators on nonsmooth manifolds and Maxwell's equations
      
In the second part, where we explore connections with Maxwell's equations, the main novelty is the treatment of the corresponding electro-magnetic boundary value problem by recasting it as a 'half' Dirichlet problem for a suitable Dirac operator.
      
Riesz bases of solutions of Sturm-Liouville equations
      
This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions.
      
The Fourier transform is related to a specific system of functional equations whose analytic solution is unique except for a multiplicative constant.
      
L2(R) Solutions of Dilation Equations and Fourier-Like Transforms
      
Originally introduced in the context of separation of variables for certain partial differential equations, PSWFs became an important tool for the analysis of band-limited functions after the famous series of articles by Slepian et al.
      
A new method for the numerical solution of volume integral equations is proposed
      
Harmonic Analysis in the p-Adic Lizorkin Spaces: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets, Tauberian
      
Solutions of pseudo-differential equations are also constructed.
      
Hypoelliptic Dunkl Convolution Equations in the Space of Distributions on ${\Bbb R}^d$
      
Resolvent Estimates Related with a Class of?Dispersive?Equations
      
We present a simple proof of the resolvent estimates of elliptic Fourier multipliers on the Euclidean space, and apply them to the analysis of time-global and spatially-local smoothing estimates of a class of dispersive equations.
      
The method converts the frame problem into a set of ordinary differential equations using concepts from classical mechanics and orthogonal group techniques.
      
The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term.
      
For the GFA model, thirty molecules were used as training set and eight as test set to evaluate the external predictability of the equations generated using GFA.
      
For the GRA model, thirteen molecules were used as training set and three as test set to evaluate the external predictability of the equations generated using GFA [r2 = 0.650 and r2pred = 0.807].
      
 

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