Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups



Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem
Dosi (Dosiev), A. A. (IOP Publishing, 2009-11-01)
We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
Afrasiyabi, Arman; Badawi, Diaa; Nasır, Barış; Yildiz, Ozan; Yarman Vural, Fatoş Tunay; ÇETİN, AHMET ENİS (2018-04-20)
We present a non-Euclidean vector product for artificial neural networks. The vector product operator does not require any multiplications while providing correlation information between two vectors. Ordinary neurons require inner product of two vectors. We propose a class of neural networks with the universal approximation property over the space of Lebesgue integrable functions based on the proposed non-Euclidean vector product. In this new network, the "product" of two real numbers is defined as the sum ...
Non-autonomous equations with unpredictable solutions
Akhmet, Marat (Elsevier BV, 2018-06-01)
To make research of chaos more amenable to investigating differential and discrete equations, we introduce the concepts of an unpredictable function and sequence. The topology of uniform convergence on compact sets is applied to define unpredictable functions [1,2]. The unpredictable sequence is defined as a specific unpredictable function on the set of integers. The definitions are convenient to be verified as solutions of differential and discrete equations. The topology is metrizable and easy for applica...
Non-linear dynamic analysis of geared rotors to internal excitation by using describing functions and finite element methods
Maliha, Rafiq; Özgüven, Hasan Nevzat; Department of Mechanical Engineering (1994)
Nonlocal regularisation of noncommutative field theories
Govindarajan, T. R.; Kürkcüoğlu, Seçkin; PANERO, Marco (World Scientific Pub Co Pte Lt, 2006-08-10)
We study noncommutative field theories, which are inherently nonlocal, using a Poincare-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cutoff scale. After discussing the general features and the peculiar advantages of this regularisation scheme for theories defined in noncommutative spaces, we focus our attention on the particular case when the noncommutativity parameter is inversely proportional to the square of the cutoff, via a dimensionless parameter eta....
Citation Formats
E. Emelyanov, Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups. 2007.