New algorithms for computing asymptotic expansions for stationary distributions of
nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on …

This paper proposes a recursive procedure, called the extended local rank factorization
(elrf), that characterizes the order of the pole and the coefficients of the Laurent series …

We assume that the generalized resolvent for a bounded linear operator pencil mapping
one Banach space onto another has an isolated essential singularity at the origin and is …

We consider a linear operator pencil with complex parameter mapping one Hilbert space
onto another. It is known that the resolvent is analytic in an open annular region of the …

We show that the generalized resolvent of a linear pencil in a unital Banach algebra over the
field of complex numbers is analytic on an open annular region of the complex plane if and …

The present paper considers a separable Hilbert space H and a bounded linear operator A:
H↦ H that has an eigenvalue of finite type at λ 0∈ C. Using the image and the kernel of …

In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to prove
a key discrepancy theorem and in so doing gave a positive answer to the long-standing …

We describe a systematic procedure to calculate the resolvent operator for a linear pencil on
Banach space and thereby simplify, unify and extend known methods for resolution and …

We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐or
infinite‐order integrated autoregressive time series on Banach space. We assume only that …

The present paper considers the operator pencil A (λ)= A 0+ A 1 λ, where A 0, A 1≠ 0 are
bounded linear mappings between complex Hilbert spaces and A 0 is neither one-to-one …