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This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics. Ilya Spitkovsky started his career under the guidance of Mark Krein in Odessa, Ukraine. During these years, Ilya’s rigorous and clear style of doing mathematics matured. Since 1990 Ilya Spitkovsky has been a professor of mathematics at the College of William and Mary in Williamsburg, Virginia, where he has taught a wide range of courses, including linear algebra, real, complex, and functional analysis. He has authored more than 300 publications, including four research monographs, and edited eight books of proceedings. Ilya Spitkovsky is currently a member of the editorial board of five international journals. Since 2013 he is a professor of the Division of Science and Mathematics New York University Abu Dhabi, UAE. With this volume, the authors of the articles join the large family of people who congratulate Ilya Spitkovsky on his anniversary. It is their wish that the contributions in this volume offer inspiring insights to researchers working in these fields.

Operator theory. --- Operator Theory.

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This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Functions of complex variables. --- Mathematics. --- Integral equations. --- Partial differential equations. --- Special functions. --- Partial Differential Equations. --- Special Functions. --- Functions of a Complex Variable. --- Integral Equations. --- Several Complex Variables and Analytic Spaces. --- Complex variables --- Elliptic functions --- Functions of real variables --- Special functions --- Mathematical analysis --- Partial differential equations --- Equations, Integral --- Functional equations --- Functional analysis --- Math --- Science --- Differential equations, partial. --- Functions, special.

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This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).

Functional analysis. --- Differential equations, partial. --- Functional Analysis. --- Partial Differential Equations. --- Several Complex Variables and Analytic Spaces. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Partial differential equations --- Partial differential equations. --- Functions of complex variables. --- Complex variables --- Elliptic functions --- Functions of real variables --- Differential equations. --- Differential Equations. --- 517.91 Differential equations --- Differential equations

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Partial differential equations --- Boundary value problems. --- Analytic functions. --- Problèmes aux limites --- Fonctions analytiques --- Problèmes aux limites

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As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control, and several other related areas.

Fractional calculus. --- Integral transforms. --- Mathematical models. --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus --- Models, Mathematical --- Simulation methods --- Functions, special. --- Integral equations. --- Distribution (Probability theory. --- Special Functions. --- Mathematical Applications in the Physical Sciences. --- Mathematical Modeling and Industrial Mathematics. --- Integral Equations. --- Probability Theory and Stochastic Processes. --- Special functions --- Mathematical analysis --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Equations, Integral --- Functional equations --- Functional analysis --- Special functions. --- Mathematical physics. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Physical mathematics --- Physics