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Harmonic Analysis on Symmetric Spaces and Applications II
  • Language: en
  • Pages: 395

Harmonic Analysis on Symmetric Spaces and Applications II

Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent.

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
  • Language: en
  • Pages: 500

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

  • Type: Book
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  • Published: 2016-04-26
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  • Publisher: Springer

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled "Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n,P) of all n x n non-singular real m...

Numerical Mathematics and Advanced Applications
  • Language: en
  • Pages: 1246

Numerical Mathematics and Advanced Applications

These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate te...

Automorphic Forms and Zeta Functions
  • Language: en
  • Pages: 400

Automorphic Forms and Zeta Functions

This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works, followed by 16 articles by experts in the fields including H Aoki, R Berndt, K Hashimoto, S Hayashida, Y Hironaka, H Katsurada, W Kohnen, A Krieg, A Murase, H Narita, T Oda, B Roberts, R Schmidt, R Schulze-Pillot, N Skoruppa, T Sugano, and D Zagier. A variety of topics in the theory of modular forms and zeta functions are covered: Theta series and the basis problems, Jacobi forms, automorphic forms on Sp(1, q), double zeta...

Tapas in Experimental Mathematics
  • Language: en
  • Pages: 304

Tapas in Experimental Mathematics

Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

Non-Associative Algebras and Related Topics
  • Language: en
  • Pages: 305

Non-Associative Algebras and Related Topics

This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, Portugal, from July 18–22, 2022. The conference was held in honor of mathematician Alberto Elduque, who has made significant contributions to the study of non-associative structures such as Lie, Jordan, and Leibniz algebras. The papers in this volume are organized into four parts: Lie algebras, superalgebras, and groups; Leibniz algebras; associative and Jordan algebras; and other non-associative structures. They cover a variety of topics, including classification problems, special maps (a...

Numbers
  • Language: en
  • Pages: 424

Numbers

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.

Modern Crop Protection Compounds, 3 Volume Set
  • Language: en
  • Pages: 1615

Modern Crop Protection Compounds, 3 Volume Set

This one-stop reference for everyone working in the agrochemical business is the leading reference in the field, with first-class authors from all major crop protection companies, including Bayer, Dow, Syngenta and BASF. In three volumes, one each on herbicides, fungicides and insecticides, it provides up-to-date information on the chemical properties, mode of action, range of application, industrial-scale synthesis and commercial products. The new edition has been updated and expanded by more than 50 new compounds and their mechanisms, for a complete picture of agrochemicals introduced since 1990. A truly comprehensive source of top quality information.

Rational Number Theory in the 20th Century
  • Language: en
  • Pages: 659

Rational Number Theory in the 20th Century

The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

Springer-Verlag: History of a Scientific Publishing House
  • Language: en
  • Pages: 439

Springer-Verlag: History of a Scientific Publishing House

A chronicle written only by someone for whom the present important. Goethe, Maximen und Reflexionen The second volume of our company's history differs from the first in several ways. With a great appreciation of history, Heinz Sarkowski has impressively reconstructed the company cor- spondence, which is fortunately almost completely preserved, and made it speak. * There is an inexhaustible amount of c- respondence pertaining to the period I have taken it upon myself to cover, and working through it properly not only would have required many years, but also would have detracted from the immediacy of the account. Thus, I decided to proceed from personal experience, to describe what has happene...