Advances in Mathematics Research. Volume 37

This book focuses on advances in mathematics research. Chapter 1 analyzes logic S4 and some of its variations. Chapter 2 discusses a case study of genesis, and the functioning of a neutral mathematical language related to the Maxwellian paradigmatic synthesis of optics, electricity and magnetism. Chapter 3 reviews the identification problem of decentralized control systems (DS). Chapter 4 is aimed at the canonical networks in position and momentum representations of molecular states in quantum mechanics and their entropic bond descriptors. Chapter 5 focuses on deterministic and noise components of electronic communications and information dynamics. Chapter 6 investigates the Frobenius Schur’s factorization of pseudo-resolvent operator matrices acting on a product right quaternionic Hilbert space. Chapter 7 an alternative version of the convolution and duality formula and gives some results on functions and distribution spaces for the general double-sided orthogonal planes split quaternion Fourier transform. Finally, Chapter 8 presents some basics of the local spectral theory of linear relations.