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Applications of Hypergroups and Related Measure Algebras PDF
Author: Marc-Olivier Gebuhrer
Publisher: American Mathematical Soc.
ISBN: 0821802976
Size: 47.42 MB
Format: PDF, ePub, Docs
Category : Hypergroups
Languages : en
Pages : 441
View: 5561

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Applications Of Hypergroups And Related Measure Algebras

by Marc-Olivier Gebuhrer, Applications Of Hypergroups And Related Measure Algebras Books available in PDF, EPUB, Mobi Format. Download Applications Of Hypergroups And Related Measure Algebras books, ``The most important single thing about this conference was that it brought together for the first time representatives of all major groups of users of hypergroups. [They] talked to each other about how they were using hypergroups in fields as diverse as special functions, probability theory, representation theory, measure algebras, Hopf algebras, and Hecke algebras. This led to fireworks.''--from the Introduction Hypergroups occur in a wide variety of contexts, and mathematicians the world over have been discovering this same mathematical structure hidden in very different applications. The diverse viewpoints on the subject have led to the need for a common perspective, if not a common theory. Presenting the proceedings of a Joint Summer Research Conference held in Seattle in the summer of 1993, this book will serve as a valuable starting point and reference tool for the wide range of users of hypergroups and make it easier for an even larger audience to use these structures in their work.


[PDF] Harmonic Analysis Of Probability Measures On Hypergroups Download

Harmonic Analysis of Probability Measures on Hypergroups PDF
Author: Walter R. Bloom
Publisher: Walter de Gruyter
ISBN: 3110877597
Size: 71.82 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 607
View: 3159

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Harmonic Analysis Of Probability Measures On Hypergroups

by Walter R. Bloom, Harmonic Analysis Of Probability Measures On Hypergroups Books available in PDF, EPUB, Mobi Format. Download Harmonic Analysis Of Probability Measures On Hypergroups books, The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.


[PDF] Functional Equations On Hypergroups Download

Functional Equations on Hypergroups PDF
Author: L szl¢ Sz‚kelyhidi
Publisher: World Scientific
ISBN: 9814407011
Size: 77.24 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 191
View: 5348

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Functional Equations On Hypergroups

by L szl¢ Sz‚kelyhidi, Functional Equations On Hypergroups Books available in PDF, EPUB, Mobi Format. Download Functional Equations On Hypergroups books, The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate OC marriageOCO where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods OCo and, sometimes, a new world of unexpected difficulties.


[PDF] Harmonic Analysis And Hypergroups Download

Harmonic Analysis and Hypergroups PDF
Author: Ken Ross
Publisher: Springer Science & Business Media
ISBN: 0817643486
Size: 73.97 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 249
View: 1862

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Harmonic Analysis And Hypergroups

by Ken Ross, Harmonic Analysis And Hypergroups Books available in PDF, EPUB, Mobi Format. Download Harmonic Analysis And Hypergroups books, An underlying theme in this text is the notion of hypergroups, the theory of which has been developed and used in fields as diverse as special functions, differential equations, probability theory, representation theory, measure theory, Hopf algebras, and quantum groups. Other topics include the harmonic analysis of analytic functions, ergodic theory and wavelets.


[PDF] Lie Groups And Lie Algebras Download

Lie Groups and Lie Algebras PDF
Author: B.P. Komrakov
Publisher: Springer Science & Business Media
ISBN: 9401152586
Size: 57.45 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 447
View: 3921

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Lie Groups And Lie Algebras

by B.P. Komrakov, Lie Groups And Lie Algebras Books available in PDF, EPUB, Mobi Format. Download Lie Groups And Lie Algebras books, This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations.


[PDF] Q Series From A Contemporary Perspective Download

Q series from a Contemporary Perspective PDF
Author: Mourad Ismail
Publisher: American Mathematical Soc.
ISBN: 0821811509
Size: 15.81 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 432
View: 6312

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Q Series From A Contemporary Perspective

by Mourad Ismail, Q Series From A Contemporary Perspective Books available in PDF, EPUB, Mobi Format. Download Q Series From A Contemporary Perspective books, This volume presents the proceedings of the Joint Summer Research Conference on $q$-series, combinatorics, and computer algebra held at Mount Holyoke College (South Hadley, MA). All of the papers were contributed by participants and offer original research on topics of current interest. Articles in the book reflect the diversity of areas that overlap with $q$-series, as well as the usefulness of $q$-series across the mathematical sciences. The conference was held in honor of Richard Askey on the occasion of his 65th birthday and the proceedings contain an article about Askey's contributions to special functions.


[PDF] Special Functions And Analysis Of Differential Equations Download

Special Functions and Analysis of Differential Equations PDF
Author: Praveen Agarwal
Publisher: CRC Press
ISBN: 1000078566
Size: 15.89 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 354
View: 2681

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Special Functions And Analysis Of Differential Equations

by Praveen Agarwal, Special Functions And Analysis Of Differential Equations Books available in PDF, EPUB, Mobi Format. Download Special Functions And Analysis Of Differential Equations books, 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.