Analysis for Science, Engineering and Beyond

This book is dedicated to Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications. It presents new advances in several areas of mathematics and engineering mathematics.

This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative, Analysis, Non-commutative Geometry and Applications INANGA08 , held at the Centre for Mathematical Sciences, Lund University in May and November of 2008.

The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation.

This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research.

A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics
research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have played a role.

This book will serve as a source of inspiration for a broad spectrum of researchers and research students.

The book contains many new methods and results, reviews of up to date research and open directions and problems for future research; The book contains more than 60 figures, schemes, algorithms and results of real data analysis and simulation, aimed to assist the readers in understanding the material, in development of new computing applications and in the further comparison analysis of the methods and results in their future publications; A special chapter on important aspects and implementation of successful engineering mathematics research and education programme will assist the readers in the development of a successful mathematics engineering research and education in their universities.

Inhalt

1 Gunnar Sparr - the Remarkable Mathematician, Entrepreneur and Ambassador for Mathematics by Lars-Erik Persson.- 2 The Engineering Mathematics Study Programme in Lund - Background and Implementation by Georg Lindgren and Gunnar Sparr.- 3 Theory of EdgeDetection by Jan J. Koenderink.- 4 Shape Modeling by Optimising Description Length Using Gradients and Parameterisation Invariance by Johan Karlsson, Anders Ericsson and Kalle Åström.- 5 On the Bijectivity of Thin-Plate Splines by Anders P. Erikson and Kalle Åström.- 6 Statistical and Knowledge Supported Visualization of Multivariate Data by Magnus Fontes.- 7 Shock-Wave Behavior of Sedimentation in Waste Water Treatment a Rich Problem by StefanDiehl.- 8 Scaling, Wavelets, Image Compression, and Encoding by Palle E.T. Jorgensen and Myung-Sin Song.- 9 Wavelet Representations and their Commutant by Dorin Ervin Dutkay and Sergei Silvestrov.- 10 Multidimensional Inequalities of Hardy and (Limit) Pólya-Knopp Types by Maria Johansson and Lars-Erik Persson.- 11 A Lizorkin Theorem on Fourier Series Multipliers for Strong Regular Systems by Lars-Erik Persson, Lyazzat Sarybekova, and Nazerke Tleukhanova.- 12 Note on the Structure of the Spaces of Matrix Monotone Functions by Hiroyuki Osaka and Jun Tomiyama.- 13 Interpolation of Normed Abelian Groups and Non-Commutative Integration by Sergei Silvestrov.- Index.