St. Petersburg Mathematical Journal PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download St. Petersburg Mathematical Journal PDF full book. Access full book title St. Petersburg Mathematical Journal by . Download full books in PDF and EPUB format.
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 718
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 718
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1608
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1572
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 600
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Global analysis (Mathematics)
Languages : en
Pages : 710
Get Book Here
Book Description
Author: Semyon Dyatlov
Publisher: American Mathematical Soc.
ISBN: 147044366X
Category : Mathematics
Languages : en
Pages : 649
Get Book Here
Book Description
Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
Author: Gang Bao
Publisher: SIAM
ISBN: 0898714753
Category : Science
Languages : en
Pages : 344
Get Book Here
Book Description
This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.
Author: Cdric Villani
Publisher: American Mathematical Soc.
ISBN: 0821844989
Category : Mathematics
Languages : en
Pages : 154
Get Book Here
Book Description
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.
Author: Hans G. Feichtinger
Publisher: Springer
ISBN: 3540682686
Category : Mathematics
Languages : en
Pages : 235
Get Book Here
Book Description
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
Author: Bernard Helffer
Publisher: Cambridge University Press
ISBN: 110703230X
Category : Mathematics
Languages : en
Pages : 263
Get Book Here
Book Description
Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.
