Download or read book The Fundamental Principle for Systems of Convolution Equations written by Daniele Carlo Struppa and published by American Mathematical Soc.. This book was released on 1983 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental principle of L. Ehrenpreis states that under suitable hypotheses, the solutions of a homogeneous constant coefficients PDE can be represented as finite sums of absolutely convergent integrals over certain varieties in C[superscript italic]n. In the present paper the author extends these results to the case of homogeneous [italic]N x [script]m systems of convolution equations. In the first part of the paper, he discusses and extends an interpolation formula developed by Berenstein and Taylor, and uses the generalized Koszul complex to solve the algebraic problems which arise when considering systems in more than one unknown: the main result is a fundamental principle for general systems of convolution equations, in spaces [italic]X as described above. The second part of the paper is devoted to the generalization of this (and a related) result to more general classes of spaces, e.g. to the LAU-spaces of Ehrenpreis.
Download or read book Several Complex Variables V written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the Encyclopaedia contains three contributions in the field of complex analysis; on mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, and stringtheory. It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.
Download or read book Analysis of Dirac Systems and Computational Algebra written by Fabrizio Colombo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
Download or read book Reviews in Complex Analysis 1980 86 written by and published by . This book was released on 1989 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Residue Currents and Bezout Identities written by C.A. Berenstein and published by Birkhäuser. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland. The objective, all along, has been to present a coherent picture of the almost mysterious role that analytic methods and, in particular, multidimensional residues, have recently played in obtaining effective estimates for problems in commutative algebra [71;5]* Our original interest in the subject rested on the fact that the study of many questions in harmonic analysis, like finding all distribution solutions (or finding out whether there are any) to a system of linear partial differential equa tions with constant coefficients (or, more generally, convolution equations) in ]R. n, can be translated into interpolation problems in spaces of entire functions with growth conditions. This idea, which one can trace back to Euler, is the basis of Ehrenpreis's Fundamental Principle for partial differential equations [37;5], [56;5], and has been explicitly stated, for convolution equations, in the work of Berenstein and Taylor [9;5] (we refer to the survey [8;5] for complete references. ) One important point in [9;5] was the use of the Jacobi interpo lation formula, but otherwise, the representation of solutions obtained in that paper were not explicit because of the use of a-methods to prove interpolation results.
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1987 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of System Identification written by Arun K. Tangirala and published by CRC Press. This book was released on 2018-10-08 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master Techniques and Successfully Build Models Using a Single Resource Vital to all data-driven or measurement-based process operations, system identification is an interface that is based on observational science, and centers on developing mathematical models from observed data. Principles of System Identification: Theory and Practice is an introductory-level book that presents the basic foundations and underlying methods relevant to system identification. The overall scope of the book focuses on system identification with an emphasis on practice, and concentrates most specifically on discrete-time linear system identification. Useful for Both Theory and Practice The book presents the foundational pillars of identification, namely, the theory of discrete-time LTI systems, the basics of signal processing, the theory of random processes, and estimation theory. It explains the core theoretical concepts of building (linear) dynamic models from experimental data, as well as the experimental and practical aspects of identification. The author offers glimpses of modern developments in this area, and provides numerical and simulation-based examples, case studies, end-of-chapter problems, and other ample references to code for illustration and training. Comprising 26 chapters, and ideal for coursework and self-study, this extensive text: Provides the essential concepts of identification Lays down the foundations of mathematical descriptions of systems, random processes, and estimation in the context of identification Discusses the theory pertaining to non-parametric and parametric models for deterministic-plus-stochastic LTI systems in detail Demonstrates the concepts and methods of identification on different case-studies Presents a gradual development of state-space identification and grey-box modeling Offers an overview of advanced topics of identification namely the linear time-varying (LTV), non-linear, and closed-loop identification Discusses a multivariable approach to identification using the iterative principal component analysis Embeds MATLAB® codes for illustrated examples in the text at the respective points Principles of System Identification: Theory and Practice presents a formal base in LTI deterministic and stochastic systems modeling and estimation theory; it is a one-stop reference for introductory to moderately advanced courses on system identification, as well as introductory courses on stochastic signal processing or time-series analysis.The MATLAB scripts and SIMULINK models used as examples and case studies in the book are also available on the author's website: http://arunkt.wix.com/homepage#!textbook/c397
Download or read book Fundamental Principles of Optical Lithography written by Chris Mack and published by John Wiley & Sons. This book was released on 2008-03-11 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fabrication of an integrated circuit requires a variety of physical and chemical processes to be performed on a semiconductor substrate. In general, these processes fall into three categories: film deposition, patterning, and semiconductor doping. Films of both conductors and insulators are used to connect and isolate transistors and their components. By creating structures of these various components millions of transistors can be built and wired together to form the complex circuitry of modern microelectronic devices. Fundamental to all of these processes is lithography, ie, the formation of three-dimensional relief images on the substrate for subsequent transfer of the pattern to the substrate. This book presents a complete theoretical and practical treatment of the topic of lithography for both students and researchers. It comprises ten detailed chapters plus three appendices with problems provided at the end of each chapter. Additional Information: Visiting http://www.lithoguru.com/textbook/index.html enhances the reader's understanding as the website supplies information on how you can download a free laboratory manual, Optical Lithography Modelling with MATLAB®, to accompany the textbook. You can also contact the author and find help for instructors.
Download or read book Reviews in Partial Differential Equations 1980 86 as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematicians in Bologna 1861 1960 written by Salvatore COEN and published by Springer Science & Business Media. This book was released on 2012-05-11 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume are historical; they are reproductions of original documents or studies on an original work and its impact on later research. The achievements of other mathematicians are investigated for their present-day importance.
Download or read book Complex Analysis Functional Analysis and Approximation Theory written by J. Mujica and published by Elsevier. This book was released on 1986-05-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.
Download or read book Analytically Uniform Spaces and Their Applications to Convolution Equations written by C. A. Berenstein and published by Springer. This book was released on 2006-11-14 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Books in Series written by and published by . This book was released on 1985 with total page 1858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1980- issued in three parts: Series, Authors, and Titles.
Download or read book Catalogue Books and Journals in Advanced Mathematics written by American Mathematical Society and published by . This book was released on 1985 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Harmonic Analysis Signal Processing and Complexity written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Original articles and survey articles in honor of the sixtieth birthday of Carlos A. Berenstein reflect his diverse research interests from interpolation to residue theory to deconvolution and its applications to issues ranging from optics to the study of blood flow * Contains both theoretical papers in harmonic and complex analysis, as well as more applied work in signal processing * Top-notch contributors in their respective fields
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1983 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
