In1975, Lazslo Toth, a US citizen and then director of technical research at the Great Western Sugar Company in Colorado, was visiting his native country of Yugoslavia to work on its continuing technical cooperation with other European nations. As part of this effort, he had agreed to provide photographs of a Yugoslav sugar plant. During this visit to his hometown of Vrbas, Toth was shocked to find himself arrested by the Yugoslav State Security, charged with spying as a CIA agent, tried i...

In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical Analysis and Analytic Number Theory. We wish to stress the point that the goal is not only to prove...

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new result...

Vedic literature, the ancient spiritual treasure of India, is an invaluable gift to us today. The most important questions of human existence and the final answers are discussed and revealed on its pages.Those who are seeking perfection often wonder what right way to choose in order to achieve the state of perfect bliss and freedom. They are yearning for the freedom that is not restrained by time or space, or in other words, by the limits of the material world.Freedom and hap...

This book summarizes the latest findings in critical infrastructure protection and related research areas. Armed conflicts and wars are now closer to Europe than at any time in the last several decades, and the protection of critical infrastructures has gained new prominence. This situation has also revealed the vulnerability of critical infrastructure and the importance of its protection.The development of technologies, cybertechnologies, and digitalization in all aspects of our d...

Climate Observations: Data Quality Control and Time Series Homogenization pulls together the different phases of the production of high-quality climatic datasets, allowing interested readers to obtain a coherent picture on the complexity and importance of this task. There are several new methods of time series homogenization, each very complex and fast developing. The thematic discussion of the production of high quality climatic datasets provides the opportunity to reduce errors, includin...

Fifty years ago, a new approach to reaction kinetics began to emerge: one based on mathematical models of reaction kinetics, or formal reaction kinetics. Since then, there has been a rapid and accelerated development in both deterministic and stochastic kinetics, primarily because mathematicians studying differential equations and algebraic geometry have taken an interest in the nonlinear differential equations of kinetics, which are relatively simple, yet capable of depicting complex beha...

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science.The chapters within cover an impressive range of ideas from ...

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational appr...

Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section “Approximation Theory and Fo...

The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science.The chapters within cover an impressive range of ideas from...

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a g...