Gaussian Processes, Function Theory and the Inverse Spectral Problem
Author: Harry Dym
Publisher:
Published: 1976
Total Pages: 333
ISBN-13:
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Gaussian Processes, Function Theory, and the Inverse Spectral Problem
Author: Harry Dym
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 354
ISBN-13: 048646279X
DOWNLOAD EBOOKThis text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian processes, strings and spectral functions, and strings and spaces of integral functions. It addresses the relationship between the past and the future of a real, one-dimensional, stationary Gaussian process. 1976 edition.
Selected Works of A. N. Kolmogorov
Author: A.N. Shiryayev
Publisher: Springer Science & Business Media
Published: 1992-02-29
Total Pages: 618
ISBN-13: 902772797X
DOWNLOAD EBOOKThe creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Selected Papers on Analysis, Probability, and Statistics
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 176
ISBN-13: 9780821875124
DOWNLOAD EBOOKThis book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.
Advances in Mathematical Methods and High Performance Computing
Author: Vinai K. Singh
Publisher: Springer
Published: 2019-02-14
Total Pages: 498
ISBN-13: 3030024873
DOWNLOAD EBOOKThis special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.
Stochastic Systems: The Mathematics of Filtering and Identification and Applications
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 655
ISBN-13: 9400985460
DOWNLOAD EBOOKIn the last five years or so there has been an important renaissance in the area of (mathematical) modeling, identification and (stochastic) control. It was the purpose of the Advanced Study Institute of which the present volume constitutes the proceedings to review recent developments in this area with par ticular emphasis on identification and filtering and to do so in such a manner that the material is accessible to a wide variety of both embryo scientists and the various breeds of established researchers to whom identification, filtering, etc. are important (such as control engineers, time series analysts, econometricians, probabilists, mathematical geologists, and various kinds of pure and applied mathematicians; all of these were represented at the ASI). For these proceedings we have taken particular care to see to it that the material presented will be understandable for a quite diverse audience. To that end we have added a fifth tutorial section (besides the four presented at the meeting) and have also included an extensive introduction which explains in detail the main problem areas and themes of these proceedings and which outlines how the various contributions fit together to form a coherent, integrated whole. The prerequisites needed to understand the material in this volume are modest and most graduate students in e. g. mathematical systems theory, applied mathematics, econo metrics or control engineering will qualify.
A Dirichlet Problem for Distributions and Specifications for Random Fields
Author: Michael Röckner
Publisher: American Mathematical Soc.
Published: 1985
Total Pages: 86
ISBN-13: 0821823256
DOWNLOAD EBOOK"March 1985, volume 54, number 324 (end of volume)"
Hardy Classes and Operator Theory
Author: Marvin Rosenblum
Publisher: Courier Corporation
Published: 1997-01-01
Total Pages: 204
ISBN-13: 9780486695365
DOWNLOAD EBOOKConcise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.
Transmutation Operators and Applications
Author: Vladislav V. Kravchenko
Publisher: Springer Nature
Published: 2020-04-11
Total Pages: 685
ISBN-13: 303035914X
DOWNLOAD EBOOKTransmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
Proceedings of the Norbert Wiener Centenary Congress, 1994
Author: Vidyadhar Mandrekar
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 617
ISBN-13: 0821804529
DOWNLOAD EBOOKA mathematician on par with the greatest in the century, Norbert Wiener was a universal thinker of colossal proportions. This book contains the proceedings of the Norbert Wiener Centenary Congress held at Michigan State University on November 27-December 2, 1994. The aim of the Congress was to reveal the depth and strong coherence of thought that runs through Wiener's legacy, and to exhibit its continuation in on-going research. This volume brings together the great minds who have furthered Wiener's ideas in physics, stochastics, harmonic analysis, philosophy, prosthesis and cybernetics. The presentations coherently lay out the developments of the subjects from their inception. This volume provides an excellent pathway for new investigators who may wish to pursue these developments by following the footsteps of world experts. There is no other book available in which experts in the various fields in which Wiener worked have presented his thoughts and contributions insuch a coherent and lucid manner.
