This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21-25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers o...Loe edasi...
This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Rieman...Loe edasi...
Introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the...Loe edasi...
This book studies solutions of the PolubarinovaGalin and LöwnerKufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the...Loe edasi...
Contains the proceedings of the Conference on Complex Analysis and Spectral Theory, held in May 2018, at Laval University, Quebec. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their...Loe edasi...
Jim Agler, John Edward McCarthy, Nicholas John Young
Sari: Cambridge Tracts in Mathematics
(Ilmumisaeg: 26-Mar-2020, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108485449)
The philosophy of this book is that Hilbert space geometry binds function theory and operator theory together, not only allowing each to aid the other, but creating a rich structure that can be used to discover new phenomena. There is a three-way s...Loe edasi...
Joyce explains the foundations of a version of algebraic geometry in which rings or algebras are replaced by C(infinity)-rings. Because schemes are the basic objects in algebraic geometry, the new basic objects are C(infinity)-schemes, a category...Loe edasi...
This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies va...Loe edasi...
Agler, Lykova, and Young determine the holomorphic retractions of the symmetrized bidisc and its subsets, which permit the extension of holomorphic functions without an increase of the supremum norm. The methods they use are of independent intere...Loe edasi...
Machine learning in Hilbert spaces has become a useful modeling and prediction tool in many areas of science and engineering, says Xu and Ye, and there has also been an emerging interest in developing learning algorithms in Banach spaces. They co...Loe edasi...
Frederick W. Gehring, Gaven J. Martin, Bruce P. Palka
Sari: Mathematical Surveys and Monographs
(Ilmumisaeg: 30-Jul-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821843604)
Offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric func...Loe edasi...
Editors Hofmann, Mitrea, Mitrea, and Morris present readers with a collection of academic contributions to the establishment of square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and app...Loe edasi...
(Ilmumisaeg: 02-Jun-2015, Hardback, Kirjastus: John Wiley & Sons Inc, ISBN-13: 9781118705223)
This book concisely addresses the classical results of the field, emphasizes the beauty, power, and counterintuitive nature of the subject, and moves the notion of power series front and center, giving readers a primary tool to deal with problems...Loe edasi...
(Ilmumisaeg: 28-May-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821890868)
Gehring (1925-2012) was a leading figure in the theory of quasiconformal mappings; Hag received her PhD under his direction and worked with him on this book for over a decade. It is an expansion of a set of his lecture notes published in 1981, now lo...Loe edasi...
The 12 papers contribute to developing mathematical techniques that provide a foundation for understanding one-dimensional real and complex dynamics. The topics include normal families and holomorphic motions over infinite dimensional parameter space...Loe edasi...
This collection contains four lectures delivered during the February 2010 school, a survey of recent developments in the spectra of algebras of analytic functions, and five research papers on weighted mixed norm spaces, holomorphic self-maps of a dis...Loe edasi...
Jaco wrote what has become the classic introductory textbook on three-manifold topology, and has made many advanced discoveries in the field as well. Among the presentations at Jacofest were discussions of ideal triangulations on pseudo-Anosov mappin...Loe edasi...
Connections between the three areas have been recognized for several decades now, and mathematicians have progressively realized that the study of them requires taking into account certain important geometric structures associated with the underlying...Loe edasi...
(Ilmumisaeg: 01-Dec-2010, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821852705)
In this reprint of his 1973 classic, Ahlfors explains conformal invariants and extremal problems, emphasizing the geometric approach as well as classical and semi-classical results that the late Finnish mathematician felt every student of complex ana...Loe edasi...
(Ilmumisaeg: 26-May-2010, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642122293)
In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these...Loe edasi...
