Convolution Like Structures Differential Operators And Diffusion Processes

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Convolution-like Structures, Differential Operators and Diffusion Processes

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Author : Rúben Sousa
Publisher : Springer Nature
ISBN 13 : 303105296X
Total Pages : 269 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis Convolution-like Structures, Differential Operators and Diffusion Processes by : Rúben Sousa

Download or read book Convolution-like Structures, Differential Operators and Diffusion Processes written by Rúben Sousa and published by Springer Nature. This book was released on 2022-07-27 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. Seeking to generalize this useful connection, and also motivated by its probabilistic applications, the book focuses on the following question: given a diffusion process Xt on a metric space E, can we construct a convolution-like operator * on the space of probability measures on E with respect to which the law of Xt has the *-convolution semigroup property? A detailed analysis highlights the connection between the construction of convolution-like structures and disciplines such as stochastic processes, ordinary and partial differential equations, spectral theory, special functions and integral transforms. The book will be valuable for graduate students and researchers interested in the intersections between harmonic analysis, probability theory and differential equations.

Special Functions and Analysis of Differential Equations

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Author : Praveen Agarwal
Publisher : CRC Press
ISBN 13 : 1000078582
Total Pages : 349 pages
Book Rating : 4.0/5 ( download)

Book Synopsis Special Functions and Analysis of Differential Equations by : Praveen Agarwal

Download or read book Special Functions and Analysis of Differential Equations written by Praveen Agarwal and published by CRC Press. This book was released on 2020-09-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.

Stochastic Partial Differential Equations with Lévy Noise

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Author : S. Peszat
Publisher : Cambridge University Press
ISBN 13 : 0521879892
Total Pages : 45 pages
Book Rating : 4.5/5 (218 download)

Book Synopsis Stochastic Partial Differential Equations with Lévy Noise by : S. Peszat

Download or read book Stochastic Partial Differential Equations with Lévy Noise written by S. Peszat and published by Cambridge University Press. This book was released on 2007-10-11 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive monograph by two leading international experts; includes applications to statistical and fluid mechanics and to finance.

Deep Structure, Singularities, and Computer Vision

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Author : Ole Fogh Olsen
Publisher : Springer
ISBN 13 : 3540320970
Total Pages : 259 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Deep Structure, Singularities, and Computer Vision by : Ole Fogh Olsen

Download or read book Deep Structure, Singularities, and Computer Vision written by Ole Fogh Olsen and published by Springer. This book was released on 2005-12-04 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the First International Workshop on Deep Structure, Singularities, and Computer Vision, DSSCV 2005, held in Maastricht, The Netherlands in June 2005. The 14 revised full papers and 8 revised poster papers presented were carefully reviewed and selected for inclusion in the book. They represent the current state-of-the-art in understanding the relation between structural, topological information represented by singularities and metric information of signals, shapes, images, and colors.

Diffusion Processes and Their Sample Paths

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Author : Kiyosi Itō
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Diffusion Processes and Their Sample Paths by : Kiyosi Itō

Download or read book Diffusion Processes and Their Sample Paths written by Kiyosi Itō and published by . This book was released on 1974 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Heat Kernels for Elliptic and Sub-elliptic Operators

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Author : Ovidiu Calin
Publisher : Springer Science & Business Media
ISBN 13 : 0817649956
Total Pages : 436 pages
Book Rating : 4.8/5 (176 download)

Book Synopsis Heat Kernels for Elliptic and Sub-elliptic Operators by : Ovidiu Calin

Download or read book Heat Kernels for Elliptic and Sub-elliptic Operators written by Ovidiu Calin and published by Springer Science & Business Media. This book was released on 2010-10-10 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.

Computer Vision - ECCV 2008

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Author : David Forsyth
Publisher : Springer
ISBN 13 : 3540886885
Total Pages : 851 pages
Book Rating : 4.5/5 (48 download)

Book Synopsis Computer Vision - ECCV 2008 by : David Forsyth

Download or read book Computer Vision - ECCV 2008 written by David Forsyth and published by Springer. This book was released on 2008-10-14 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set comprising LNCS volumes 5302/5303/5304/5305 constitutes the refereed proceedings of the 10th European Conference on Computer Vision, ECCV 2008, held in Marseille, France, in October 2008. The 243 revised papers presented were carefully reviewed and selected from a total of 871 papers submitted. The four books cover the entire range of current issues in computer vision. The papers are organized in topical sections on recognition, stereo, people and face recognition, object tracking, matching, learning and features, MRFs, segmentation, computational photography and active reconstruction.

Practical Handbook on Image Processing for Scientific and Technical Applications

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Author : Bernd Jahne
Publisher : CRC Press
ISBN 13 : 0849390303
Total Pages : 624 pages
Book Rating : 4.8/5 (493 download)

Book Synopsis Practical Handbook on Image Processing for Scientific and Technical Applications by : Bernd Jahne

Download or read book Practical Handbook on Image Processing for Scientific and Technical Applications written by Bernd Jahne and published by CRC Press. This book was released on 2004-03-15 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image processing is fast becoming a valuable tool for analyzing multidimensional data in all areas of natural science. Since the publication of the best-selling first edition of this handbook, the field of image processing has matured in many of its aspects from ad hoc, empirical approaches to a sound science based on established mathematical and p

Practical Asymptotics

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Author : H.K. Kuiken
Publisher : Springer Science & Business Media
ISBN 13 : 9780792369202
Total Pages : 398 pages
Book Rating : 4.3/5 (692 download)

Book Synopsis Practical Asymptotics by : H.K. Kuiken

Download or read book Practical Asymptotics written by H.K. Kuiken and published by Springer Science & Business Media. This book was released on 2001-04-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Asymptotics is an effective tool for reducing the complexity of large-scale applied-mathematical models arising in engineering, physics, chemistry, and industry, without compromising their accuracy. It exploits the full potential of the dimensionless representation of these models by considering the special nature of the characteristic dimensionless quantities. It can be argued that these dimensionless quantities mostly assume extreme values, particularly for practical parameter settings. Thus, otherwise complicated models can be rendered far less complex and the numerical effort to solve them is greatly reduced. In this book the effectiveness of Practical Asymptotics is demonstrated by fifteen papers devoted to widely differing fields of applied science, such as glass-bottle production, semiconductors, surface-tension-driven flows, microwaving joining, heat generation in foodstuff production, chemical-clock reactions, low-Mach-number flows, to name a few. A strong plea is made for making asymptotics teaching an integral part of any numerics curriculum. Not only will asymptotics reduce the computational effort, it also provides a fuller understanding of the underlying problems.

Probability on Algebraic Structures

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Author : Gregory Budzban
Publisher : American Mathematical Soc.
ISBN 13 : 0821820273
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Probability on Algebraic Structures by : Gregory Budzban

Download or read book Probability on Algebraic Structures written by Gregory Budzban and published by American Mathematical Soc.. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.:/5 (31 download)

Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Functions: Fractional Calculus and the Pathway for Entropy

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Author : Hans J. Haubold
Publisher : MDPI
ISBN 13 : 3038426652
Total Pages : 305 pages
Book Rating : 4.0/5 (384 download)

Book Synopsis Special Functions: Fractional Calculus and the Pathway for Entropy by : Hans J. Haubold

Download or read book Special Functions: Fractional Calculus and the Pathway for Entropy written by Hans J. Haubold and published by MDPI. This book was released on 2018-03-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms

On Modeling the Spatiotemporal Processing Characteristics of the Retina

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Author : Matthias Wulf
Publisher : IOS Press
ISBN 13 : 9783898382540
Total Pages : 356 pages
Book Rating : 4.3/5 (825 download)

Book Synopsis On Modeling the Spatiotemporal Processing Characteristics of the Retina by : Matthias Wulf

Download or read book On Modeling the Spatiotemporal Processing Characteristics of the Retina written by Matthias Wulf and published by IOS Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neural Information Processing

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Author : Biao Luo
Publisher : Springer Nature
ISBN 13 : 9819980798
Total Pages : 614 pages
Book Rating : 4.8/5 (199 download)

Book Synopsis Neural Information Processing by : Biao Luo

Download or read book Neural Information Processing written by Biao Luo and published by Springer Nature. This book was released on 2023-11-13 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six-volume set LNCS 14447 until 14452 constitutes the refereed proceedings of the 30th International Conference on Neural Information Processing, ICONIP 2023, held in Changsha, China, in November 2023. The 652 papers presented in the proceedings set were carefully reviewed and selected from 1274 submissions. They focus on theory and algorithms, cognitive neurosciences; human centred computing; applications in neuroscience, neural networks, deep learning, and related fields.

Anisotropic Diffusion in Image Processing

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Author : J. Weickert
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)

Book Synopsis Anisotropic Diffusion in Image Processing by : J. Weickert

Download or read book Anisotropic Diffusion in Image Processing written by J. Weickert and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Anomalous Diffusion and Relaxation

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Author : Luiz Roberto Evangelista
Publisher : Springer Nature
ISBN 13 : 3031181506
Total Pages : 411 pages
Book Rating : 4.0/5 (311 download)

Book Synopsis An Introduction to Anomalous Diffusion and Relaxation by : Luiz Roberto Evangelista

Download or read book An Introduction to Anomalous Diffusion and Relaxation written by Luiz Roberto Evangelista and published by Springer Nature. This book was released on 2023-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.

Introduction to the Fourier Transform & Pseudo-differential Operators

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Author : Bent E. Petersen
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Introduction to the Fourier Transform & Pseudo-differential Operators by : Bent E. Petersen

Download or read book Introduction to the Fourier Transform & Pseudo-differential Operators written by Bent E. Petersen and published by Pitman Advanced Publishing Program. This book was released on 1983 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: