Format: Hardback, 162 pages, height x width: 235x155 mm, 1 Illustrations, color; 2 Illustrations, black and white; X, 150 p. 1 illus.,
Series: Research Perspectives Ghent Analysis and PDE Center 8
Pub. Date: 17-Dec-2024
ISBN-13: 9783031719882
The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and related applications.
On the existence of a Weyl calculus on graded Lie groups.- On Courant and Pleijel theorems for sub-Riemannian Laplacians.- Fourier analysis on lattices and beyond.- Normal forms and regularity at radial points.- Fredholmness of pseudodifferential operators on rearrangement-invariant spaces.- Diophantine conditions and global properties for systems of vector fields in tori and spheres.- Phase space Feynman path integrals of parabolic type on the torus as analysis on path space.- Quasi-Clustering for the Spectrum of Semiregular Systems.- Multilinear Fourier integral operators on modulation spaces.- Pseudodifferential operators with completely periodic symbols and Gabor frames.- Characterization of wave front sets associated with ultradistributional spaces by special orbital wavelet transform.- Ridgelet transform on Gelfand-Shilov spaces of type W.- Recent advances in harmonic analysis on the group SL(2, R).- Pseudodifferential transmission problems.- Pseudo-differential operators involving the Weinstein transform.- Banach-space-valued ultradistributions involving the Weinstein transform.- Regularity of oscillatory integral operators arising in evolutionary PDEs, in classical function spaces.- Restriction theorems for Fourier-Dunkl transform.- On the iterates of the Laguerre operator.
Format: Paperback 77 pages, height x width: 235x155 mm, II, 59 p.,
Series: SpringerBriefs in Mathematics
Pub. Date: 20-Dec-2024
ISBN-13: 9783031737572
This book introduces a cutting-edge continuous time stochastic linear quadratic (LQ) adaptive control algorithm for fully observed linear stochastic systems with unknown parameters. The adaptive estimation algorithm is engineered to drive the maximum likelihood estimate into the set of parameters representing the true closed-loop dynamics. By incorporating a performance monitoring feature, this approach ensures that the estimate converges to the true system parameters. Concurrently, it delivers optimal long-term LQ closed-loop performance. This groundbreaking work offers a significant advancement in the field of stochastic control systems.
Introduction.- Problem Statement.- Asymptotic Maximum Likelihood
Identification.- Geometric Results.- Lagrangian Adaptation.- Proof of Theorem
5.2.- Index.
Format: Hardback, 271 pages, height x width: 235x155 mm, 79 Illustrations, color; 2 Illustrations, black and white; X, 271 p. 81 illus., 79 illus. in color.,
Series: Studies in Theoretical and Applied Statistics
Pub. Date: 24-Oct-2024
ISBN-13: 9783031636295
This book addresses a wide range of recent methodological aspects, applications and best practices of statistics production. It comprises a selection of peer-reviewed contributions of methodological and applied interest presented at the 4th Conference of European Statistics Stakeholders, CESS 2022, held in Rome, Italy, on October 20-21, 2022. The first part discusses statistical methods with applications to environmental risk assessment, sentinels data, surveillance systems during the Covid-19 pandemic, healthcare risk management, the analysis of regional or structural changes of scale, household distributional accounts, regional rental prices on municipalities, the network topology of the Euro area interbank market, tourism statistics and big data, statistical literacy, and Sustainable Development Goal composite indicators for EU countries. The second part focuses on statistical methodologies for complex data analysis, namely the optimal number of clusters to rank a model-based index, clustering methods for asymmetric data using spectral approaches, a family of parsimonious matrix-variate mixture models for heavy-tailed data, the importance of robust second-stage regressions for financial data, and on perturbation methods.
In view of the overarching theme The European Data Ecosystem for the Statistical Information of the Digital Age and the importance of statistical data for monitoring the progress of the United Nations Sustainable Development Goals, the CESS 2022 meeting provided a forum for discussion on methodologies, results, challenges and best practices among methodologists, producers, and users of European Statistics from academia, the national statistical offices and the institutions of the European Union.
Chapter Estimating regional rental prices on LAU 2 municipalities in North Rhine-Westphalia is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Format: Hardback, 494 pages, height x width: 235x155 mm, 7 Illustrations, black and white; X, 500 p. 8 illus., 5 illus. in color.
Series: CMS/CAIMS Books in Mathematics 14
Pub. Date: 06-Jan-2025
ISBN-13: 9783031719660
This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems.
To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics.
Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory.
Convex Functions at a First Glance.- More on Convex Functions on
Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed
Linear Space.- Differentiable Convex Functions.
6. Convexity and
Majorization.- Convexity in Spaces of Matrices.- Convexity in Spaces of
Matrices.- Duality and Convex Optimization.- Special Topics in Majorization
Theory. Appendices.- Generalized Convexity on Intervals.- Background on
Convex Sets.- Elementary Symmetric Functions.- Second Order
Differentiability of Convex Functions.- The Variational Approach of PDE.
Format: Hardback, 321 pages, height x width: 235x155 mm, 9 Illustrations, color; 1 Illustrations, black and white; XX, 310 p. 12 illus., 10 illus. in color.,
Series: Industrial and Applied Mathematics
Pub. Date: 31-Jan-2025
ISBN-13: 9789819779888
This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory. These contributions were presented in honor of Prof. M. Thamban Nair on his 65th birthday during the International Conference on Analysis, Inverse Problems, and Applications, which took place at the IIT Madras in Chennai, India, from July 1821, 2022. The book is a valuable resource for graduate students, engineers, scientists, and researchers looking to advance their work in the development of innovative regularization algorithms. It comprises 14 chapters contributed by esteemed experts and emerging researcher
Chapter 1 A Class of Frozen Regularized GaussNewton Methods under Weak
Conditions.
Chapter 2 Projection-based Approximations of Integral Equation of the First
Kind.
Chapter 3 Approximate Solution of Fredholm Integral Equations of the Second
Kind.
Format: Hardback, 283 pages, height x width: 235x155 mm, 35 Illustrations, color; 30 Illustrations, black and white; Approx. 300 p.,
Series: Italian Statistical Society Series on Advances in Statistics
Pub. Date: 07-Jan-2025
ISBN-13: 9783031643453
This book of peer-reviewed short papers on methodological and applied statistics and demography is the first of four volumes from the 52nd Scientific Meeting of the Italian Statistical Society (SIS 2024), held in Bari, Italy, on June 17-20, 2024. It features invited contributions presented in the Plenary and Specialized Sessions.
The volumes address a large number of topics and applications of current interest. The topics covered include, but are not limited to, statistical theory and methods, sampling theory, Bayesian statistics, statistical modeling, computational statistics, classification, data analysis, gender statistics and applied statistics. The applications reflect new analyses in a wide variety of fields, including demography, psychometrics, education, business, economics, finance, law, and other social sciences and humanities, epidemiology, the life and health sciences as well as the environmental and natural sciences and engineering. This variety also demonstrates the important role of statistical science in addressing the societal and environmental challenges of sustainable development.
One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Its biennial international Scientific Meeting represents the Societys largest event which brings together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.
Preface.- Plenary Sessions.- Specialized Sessions.
Format: Hardback, 373 pages, height x width: 235x155 mm, VIII, 265 p.,
Pub. Date: 11-Jan-2025
ISBN-13: 9789819745647
This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.
This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure.
Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.
Preface.
Chapter 1. Survey on the Prandtls Equations and Related Boundary Layer
Equations.
Chapter 2. Global Well-posedness of Solutions to the 2D Prandtl-Hartmann
Equations in Analytic Framework.
Chapter 3. Local Existence of Solutions to the 2D Prandtl Equations in
A Weighted Sobolev Space.
Chapter 4. Local Well-posedness of Solutions to the 2D Mixed Prandtl Equations
in A Sobolev Space Without Monotonicity or Lower Bound.
Chapter 5. Local Well-posedness of Solutions to 2D Magnetic Prandtl Model
in the Prandtl-Hartmann regime.
Chapter 6. Local Existence of Solutions to 3D Prandtl Equations with a
Special Structure.- Bibliography.