By Michael Demuth,Werner Kirsch
By J. L. Alperin
By A. Awane,M. Goze
By Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig
This e-book provides functions of hypercomplex research to boundary worth and initial-boundary price difficulties from numerous components of mathematical physics. on condition that quaternion and Clifford research supply usual and clever how one can input into greater dimensions, it begins with quaternion and Clifford models of advanced functionality concept together with sequence expansions with Appell polynomials, in addition to Taylor and Laurent sequence. numerous important functionality areas are brought, and an operator calculus according to differences of the Dirac, Cauchy-Fueter, and Teodorescu operators and various decompositions of quaternion Hilbert areas are proved. ultimately, hypercomplex Fourier transforms are studied in detail.
All this is often then utilized to first-order partial differential equations akin to the Maxwell equations, the Carleman-Bers-Vekua process, the Schrödinger equation, and the Beltrami equation. The higher-order equations commence with Riccati-type equations. additional themes contain spatial fluid circulation difficulties, photograph and multi-channel processing, photograph diffusion, linear scale invariant filtering, and others. one of many highlights is the derivation of the three-d Kolosov-Mushkelishvili formulation in linear elasticity.
Throughout the booklet the authors exercise to provide old references and critical personalities. The publication is meant for a large viewers within the mathematical and engineering sciences and is offered to readers with a easy take hold of of genuine, complicated, and practical analysis.
By G.V. Milovanovic
By Zhi-yuan Huang,Jia-an Yan
By Suren A. Grigoryan,Toma V. Tonev
This e-book at the idea of shift-invariant algebras is the 1st monograph committed totally to an outgrowth of the verified idea of generalized analytic services on compact teams. linked subalgebras of virtually periodic services of genuine variables and of bonded analytic services at the unit disc are carried alongside in the common framework.
By Martin Schechter
This textual content starts off on the foundations of the sector, and is on the market with a few historical past in useful research. As such, the booklet is perfect for lecture room of self examine. the recent fabric coated additionally makes this e-book a needs to learn for researchers within the conception of severe points.
By G.N. Watson