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Application of Holomorphic Functions in Two and Higher Dimensions
This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-0348-0964-1
- Collation
- XV, 390
- Series Title
- -
- Call Number
- 515.4 GUR a
Nonlocal Diffusion and Applications
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extens…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-28738-6
- Collation
- XII, 155
- Series Title
- Lecture Notes of the Unione Matematica Italiana
- Call Number
- -
Analysis on h-Harmonics and Dunkl Transforms
This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation the…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-0348-0887-3
- Collation
- VIII, 118
- Series Title
- Advanced Courses in Mathematics - CRM Barcelona
- Call Number
- 515.4 YUA a
Advanced Calculus of a Single Variable
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are exp…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-27807-0
- Collation
- XII, 382
- Series Title
- -
- Call Number
- 515.4 GEV a
A Variational Approach to Lyapunov Type Inequalities: From ODEs to PDEs
This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov’s original results and moves forward to include prevalent results obtained in the past ten years. De…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-25289-6
- Collation
- XVIII, 120
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 515.4 CAN v
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