Abstract: Summary form only given. Early was proposed new types of basis functions for variational calculations of the quantum-mechanical systems with Coulomb interaction between the particles. This ...

ABSTRACT: A double system of exponents with piecewise continuous complex-valued coefficients are considered. Under definite conditions on the coefficients the frame property of this system in Lebesgue ...

This post covers topic of fourier representation of a function. Most signals are represented with a set of exponential functions, resulting in complex exponential functions. If these functions are ...

ABSTRACT: Let μ M,D be a self-affine measure associated with an expanding integer matrix M=[ p 1 ,0,0; p 4 , p 2 ,0; p 5 ,0, p 3 ] and the digit set D={ 0, e 1 , e 2 , e 3 } in the space R 3 , where p ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...