Due 2019-02-17
1st ed. 2019, XVIII, 264 p.
1 illus.
Hardcover
ISBN 978-3-030-05209-6
Series :Applied and Numerical Harmonic Analysis
Mathematics : Fourier Analysis
Presents select talks from the first-annual Aspects of Time-Frequency
Analysis conference
Explores interesting connections among a variety of applications of harmonic
analysis and pseudodifferential operators in the context of time-frequency
analysis
Chapter authors are leaders in the field of harmonic analysis and its
applications
The chapters in this volume are based on talks given at the inaugural Aspects of Time-
Frequency Analysis conference held in Turin, Italy from July 5-7, 2018, which brought together
experts in harmonic analysis and its applications. New connections between different but
related areas were presented in the context of time-frequency analysis, encouraging future
research and collaborations. Some of the topics covered include: Abstract harmonic analysis,
Numerical harmonic analysis, Sampling theory, Compressed sensing, Mathematical signal
processing, Pseudodifferential operators, and Applications of harmonic analysis to quantum
mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers
and advanced students working in time-frequency analysis and other related areas of
harmonicanalysis.
Due 2019-02-07
XII, 212 p.
Hardcover
ISBN 978-3-030-04428-2
Series :Applied and Numerical Harmonic Analysis
Mathematics : Abstract Harmonic Analysis
Covers almost all the aspects of the behavior of the Fourier transforms of
functions of bounded variation
Many known and new spaces are considered
A must to read for those who are interested in function spaces and their
interrelations
Functions of bounded variation represent an important class of functions. Studying their Fourier
transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light
new interrelations between these functions and the real Hardy space and, correspondingly,
between the Fourier transform and the Hilbert transform. This book is divided into two major
parts, the first of which addresses several aspects of the behavior of the Fourier transform of a
function of bounded variation in dimension one. In turn, the second part examines the Fourier
transforms of multivariate functions with bounded Hardy variation. The results obtained are
subsequently applicable to problems in approximation theory, summability of the Fourier series
and integrability of trigonometric series.
Due 2019-03-12
1st ed. 2019, X, 113 p. 2
illus., 1 illus. in color.
Softcover
ISBN 978-3-030-06242-2
Mathematics : Integral Equations
Contains the first systematic presentation of nonlocal curvature and
perimeter for measurable sets
With applications to minimal surfaces
Nonlocal heat content is also studied
This book highlights the latest developments in the geometry of measurable sets, presenting
them in simple, straightforward terms. It addresses nonlocal notions of perimeter and
curvature and studies in detail the minimal surfaces associated with them. These notions of
nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further,
when the kernel is appropriately rescaled, they converge toward the classical perimeter and
curvature as the rescaling parameter tends to zero. In this way, the usual notions can be
recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an
asymptotic expansion is obtained. Given its scope, the book is intended for undergraduate and
graduate students, as well as senior researchers interested in analysis and/or geometry.
Due 2019-03-16
1st ed. 2019, V, 287 p. 31
illus., 3 illus. in color.
Hardcover
ISBN 978-981-13-5741-1
Series :Trends in Mathematics
Mathematics : Algebraic Topology
Collects papers on a wide range of algebraic topology, from homotopy theory,
braid groups, configuration spaces and toric topology, to transformation
groups and knot theory
Includes contributions from eminent international researchers, presented at
the 7th East Asian Conference on Algebraic Topology held at IISER, Mohali,
India
Is of immense scientific value to the mathematical community and
researchers in algebraic topology
This book highlights the latest advances in algebraic topology, from homotopy theory, braid
groups, configuration spaces and toric topology, to transformation groups and the adjoining
area of knot theory. It consists of well-written original research papers and survey articles by
subject experts, most of which were presented at the g7th East Asian Conference on Algebraic
Topologyh held at the Indian Institute of Science Education and Research (IISER), Mohali,
Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics
that has seen enormous developments over the past decade, and as such this book is a
valuable resource for graduate students and researchers working in the field.
Due 2019-03-28
Approx. 500 p.
Hardcover
ISBN 978-3-030-10936-3
Series :Trends in Mathematics
Mathematics : Partial Differential Equations
Contains thirteen papers devoted to recent results in mathematics, focusing
on nonlinear partial differential equation and applications
Provides contributions about qualitative properties of solutions of linear and
nonlinear models, well-posedness results, results on asymptotic profiles of
solutions, on blow-up behavior and on the influence of low regular coefficients
This book features acollection ofpapers devoted to recent results in nonlinear partial
differentialequations and applications. It presents an excellent source of information on the
state-of-the-art, new methods, and trends in this topic and related areas. Most of the
contributors presented their work during the sessions "Recent progress in evolutionequations"
and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Vaxjo,Sweden. Even if
inspired by this event, this bookis notmerely acollection of proceedings, but a stand-alone
projectgatheringoriginal contributions from active researcherson the latest trends innonlinear
evolution PDEs.