"Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA ..."
"Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. It has also been used to give in sights into new development ..."
"Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA ..."
"Spaces of measures and their applications to structured population models, Christian D ̈ull, Piotr Gwiazda, Anna Marciniak-Czochra & Jakub Skrzeczkowski 37. Quasi-interpolation, Martin Buhmann & Janin J ̈ager The Christoffel–Darboux ..."
"... University of Minnesota Twin Cities Raul Curto, Department of Mathematics,
University of Iowa Etienne de Klerk, Department of Econometrics and Operations
Research, Katholieke Universiteit Brabant (Tilburg University) Jesus Antonio De
Loera, Department of Mathematics University of California Mauricio de Oliveira,
Department of Mechanics and Aerospace Engineering, University of California,
San Diego Xuan Vinh Doan, Operations Res ..."
"This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the ..."
"The present lectures are based on a course deli vered by the authors at the Uni versi ty of Bucharest, in the winter semester 1985-1986. Without aiming at completeness, the topics selected cover all the major questions concerning hyponormal operators. Our main purpose is to provide the reader with a straightforward access to an active field of research which is strongly related to the spectral and perturbatio ..."
"The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vi ..."
"This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributi ..."
"Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator th ..."
"This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributi ..."
"The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topi ..."
"This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in on ..."
"Exponential Transform in Dimension Two Björn Gustafsson, Mihai Putinar. 20. 21
.A. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 43.
19. P. Ebenfelt, B. Gustafsson, D. Khavinson, M. Putinar, Preface, in Quadrature
Domains and Their Applications. Operator Theory: Advances and Applications,
vol. 156 (Birkhäuser, Basel, 2005), pp. vii–x M. Eiermann, R.S. Varga, Zeros and
local extreme points of Faber p ..."
Operator Theory Advances and Applications, Mathematical Methods in Systems, Optimization, and Control: Festschrift in Honor of J. William Helton by Harry Dym, MihaiPutinar, Mauricio De Oliveira 370 Pages, Published 2012 by Springer Science & Business Media ISBN-13: 978-3-0348-0411-0, ISBN: 3-0348-0411-3
"Festschrift in Honor of J. William Helton Harry Dym, Mauricio C. de Oliveira, Mihai
Putinar. by T(X)(z) = V XV. Under suitable conditions the Berezin transform of
every compact operator vanishes on the boundary of Q. To describe a typical
case, let us observe that |Q| ||= m (Q.)T' = m (6.) " (ze Q), where m(T) = info-1|Tall
denotes ... holds, then the above argument with f = g yields that SOT-lim, , oo V =
0. [T] Note that the cond ..."
"Soc. (3) 95(2) (2007), 443–472. [27] A.W. Goodman, Remarks on the Gauss-
Lucas theorem in higher dimensional space, Proc. Amer. Math. Soc. 55 (1976),
97–102. [28] A.W. Goodman, On the zeros of the derivative of a rational function,
J. Math. Anal. Appl. 132 (1988), 447–452. [29] A.W. Goodman, Q.I. Rahman and J
. Ratti, On the zeros of a polynomial and its derivative, Proc. Amer. Math. Soc. 21 (
1969), 273–274. [30] J.H. Grace, The zero ..."
Operator Theory Advances and Applications Ser.: Lectures on Hyponormal Operators by MihaiPutinar, Mircea Martin 304 Pages, Published 2012 by Birkhäuser ISBN-13: 978-3-0348-7466-3, ISBN: 3-0348-7466-9
"Further contributors to this key branch of the theory of hyponormal operators were
C.A. Berger [1], [2], C.A. Berger and B.L. Shaw [1], [2], K. Clancey [4]-[9], D. Xia [3
]-[7], D. Voiculescu [5], [6]. ... A. Connes [1] and others. The book by K. Clancey [5]
presents in a concise and unifying manner the essentials of the theory of the
principal function. In recent times other alternative functional models for
hyponormal operators ha ..."
"The Harold S. Shapiro Anniversary Volume Peter Ebenfelt, Björn Gustafsson,
Dmitry Khavinson, Mihai Putinar. theoretic equivalent of the ... Today, we can add
to the ramifications of the theory of quadrature domains chapters of partial
differential equations in the complex domain, variational problems for PDE and
free boundaries, completely integrable systems related to quantum physics,
gravitational lensing and many new aspects of ..."