This series is designed to capture new developments and summarize what is known over the entire field of mathematics, both pure and applied. It will include a broad range of monographs and research notes on current and developing topics that will appeal to academics, graduate students, and practitioners. Interdisciplinary books appealing not only to the mathematical community, but also to engineers, physicists, and computer scientists are encouraged.

This series will maintain the highest editorial standards, publishing well-developed monographs as well as research notes on new topics that are final, but not yet refined into a formal monograph. The notes are meant to be a rapid means of publication for current material where the style of exposition reflects a developing topic.

By **Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim**

September 17, 2020

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and ...

By **Svetlin Georgiev, Khaled Zennir**

July 22, 2020

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs covers all the basics of the subject of fixed-point theory and its applications with a strong focus on examples, proofs and practical problems, thus making it ideal as course material but also as a reference for ...

By **Gennadi I. Mikhasev, Petr E. Tovstik**

April 15, 2020

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of ...

By **Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin**

March 31, 2020

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is ...

By **Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan**

February 17, 2020

The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral ...

By **Feyzi Başar, Hemen Dutta**

February 07, 2020

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several ...

By **Kendall Atkinson, David Chien, Olaf Hansen**

November 08, 2019

Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial ...

By **Frederik Caenepeel, Fred Van Oystaeyen**

November 25, 2019

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains. Features • Introduces new ...

By **Willi Freeden, M. Zuhair Nashed**

October 29, 2019

Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle ...

By **Jacek Banasiak, Wilson Lamb, Philippe Laurencot**

September 20, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of ...

By **Jacek Banasiak, Wilson Lamb, Philippe Laurencot**

September 20, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant ...

By **Jacek Banasiak, Wilson Lamb, Philippe Laurencot**

September 20, 2019

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of ...