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Author : N. Petridis,S. K. Pichorides,N. Varopoulos
Publisher : Unknown
Page : 224 pages
File Size : 52,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662181002
Author : N. Petridis,S. K. Pichorides,N. Varopoulos
Publisher : Springer
Page : 222 pages
File Size : 53,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540386322
In recent years there has been a tremendous growth in psychology as a field of study and in the number of students of clinical psychology in particular. The latter is partly due to the proliferation of professional schools of psychology that are devoted to practitioner-oriented degrees, rather than the traditional research-oriented course of study. Whatever school students emerge from, however, they are obliged to demonstrate proficiency in providing clinical services. This multi-volume handbook, is devoted to describing the core competency areas in providing psychological services which is relevant to practitioners as well as clinical researchers. As such, it covers assessment and conceptualization of cases, the application of evidence-based methods, supervision, consultation, cross-cultural factors, and ethics. The Handbook comprises three volumes with contributions by experts in each area. The goal is to provide detailed descriptions of competence levels and describe the developmental trajectory required to reach the highest of these levels. Each chapter in Volume I will follow a similar format including an overview, basic competencies, and expert competencies. This will facilitate easy comparison across chapters. All will be illustrated with case examples. Subsequent volumes will have a similarly structured format that will include maintenance factors, mechanisms of change, evidence-based treatment approaches, and a focus on the transition from basic skills to expert functioning. It is expected that the systematic presentation of skills will provide a gold standard against which to measure individual performance and in this regard will be valuable to students, instructors, and credentialing bodies.
Author : J. J. Benedetto
Publisher : Springer
Page : 185 pages
File Size : 44,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540386025
Author : Guido Weiss,Stephen Wainger
Publisher : Unknown
Page : 438 pages
File Size : 54,7 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:836686496
Author : Audrey Terras
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 44,5 Mb
Release : 2013-09-12
Category : Mathematics
ISBN : 9781461479727
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Author : George W. Mackey
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 50,5 Mb
Release : 2005-04-08
Category : Mathematics
ISBN : 0821890441
''When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ... The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists.'' --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations--discoveries that may at first glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Author : C. van den Berg,J. P. R. Christensen,P. Ressel
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461211280
The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk» is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.
Author : U. R. J. Knill,M. Kalka,H. C. J. Sealey
Publisher : Springer
Page : 167 pages
File Size : 53,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540393603
Author : María Cristina Pereyra,Stefania Marcantognini,Alexander M. Stokolos,Wilfredo Urbina
Publisher : Springer
Page : 371 pages
File Size : 47,6 Mb
Release : 2016-09-15
Category : Mathematics
ISBN : 9783319309613
Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.
Author : Jürgen Meyer
Publisher : Springer
Page : 446 pages
File Size : 41,6 Mb
Release : 2009-02-20
Category : Science
ISBN : 0387095160
This classic reference on musical acoustics and performance practice begins with a brief introduction to the fundamentals of acoustics and the generation of musical sounds. It then discusses the particulars of the sounds made by all the standard instruments in a modern orchestra as well as the human voice, the way in which the sounds made by these instruments are dispersed and how the room into which they are projected affects the sounds.
Author : American Mathematical Society
Publisher : American Mathematical Soc.
Page : 438 pages
File Size : 45,9 Mb
Release : 1979
Category : Generalized spaces
ISBN : 9780821814383
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, Lie groups and functional analysis
Author : J. Carmona,M. Vergne
Publisher : Springer
Page : 249 pages
File Size : 47,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540351313
Acoustics and the Performance of Music connects scientific understandings of acoustics with practical applications to musical performance. Of central importance are the tonal characteristics of musical instruments and the singing voice including detailed representations of directional characteristics. Furthermore, room acoustical concerns related to concert halls and opera houses are considered. Based on this, suggestions are made for musical performance. Included are seating arrangements within the orchestra and adaptations of performance techniques to the performance environment. In the presentation we dispense with complicated mathematical connections and deliberately aim for conceptual explanations accessible to musicians, particularly for conductors. The graphical representations of the directional dependence of sound radiation by musical instruments and the singing voice are unique. Since the first edition was published in 1978, this book has been completely revised and rewritten to include current research. This translation corresponds to the latest (fifth) German edition (2004), which has become a standard reference work for audio engineers and scientists. Acoustics and the Performance of Music addresses issues that are of interest to acousticians, orchestra performers and conductors, audio engineers, architects. Researchers and students of musical acoustics will also find this text valuable.
Author : V.P. Khavin,N.K. Nikol'skii
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 47,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662063019
With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.
Author : Edwin Hewitt,Kenneth A. Ross
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 1963
Category : Harmonic analysis
ISBN : LCCN:63012898
Author : V.P. Havin,N.K. Nikol'skij
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642578540
Aimed at readers who have learned the principles of harmonic analysis, this book provides a variety of perspectives on this very important classical subject. The authors have written a truly outstanding book which distinguishes itself by its excellent expository style.
