The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors…
Singular traces
by Sukochev, F. A., Lord, Steven, Zanin, Dmitriy
fromDe Gruyter studies in mathematics
"This monograph introduces the theory of singular traces and their spectral properties for a separable Hilbert space. The first part of the text describes all traces on ideals of bounded operators in terms of invariant linear functionals on ideals of bounded sequences, and provi…
Singular traces
by Sukochev, F. A., Lord, Steven, Zanin, Dmitriy
fromDe Gruyter studies in mathematics
Singular Traces
by Sukochev, Fedor, Lord, Steven, Zanin, Dmitriy
fromDe Gruyter studies in mathematics
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a s…
Singular traces
by Sukochev, F. A., Lord, Steven, Zanin, Dmitriy
fromDe Gruyter studies in mathematics
"This monograph introduces the theory of singular traces and their spectral properties for a separable Hilbert space. The first part of the text describes all traces on ideals of bounded operators in terms of invariant linear functionals on ideals of bounded sequences, and provi…
Singular traces
by Sukochev, F. A., Lord, Steven, Zanin, Dmitriy
fromDe Gruyter studies in mathematics
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a s…
This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for th…
This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued me…
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors' approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the …
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors' approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the …
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and chall…