In this paper, we study the asymptotic theory for spectral analysis of stationary random fields on Z2, including linear and nonlinear fields. Asymptotic properties Fourier coefficients periodograms, limiting distributions coefficients, uniform consistency kernel density estimators are obtained under various mild conditions moments dependence structures. The validity aforementioned results estim...

In this article, the spectral theory is considered, we study families and their correspondence to operators on reflexive Banach spaces; assume A a well-bounded operator Lebesgue spaces then scalar type operator. The main goals are obtain characterization of in terms associated family topology dual pairing construct continuous functional calculus for space.