Harmonic Analysis 1978 PDF Download

Author: N. Petridis
Publisher:
ISBN: 9783662181003
Category :
Languages : en
Pages : 224

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Author: N. Petridis
Publisher: Springer
ISBN: 3540386327
Category : Mathematics
Languages : de
Pages : 222

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Book Description
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: Guido Weiss
Publisher:
ISBN:
Category :
Languages : en
Pages : 438

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Author: Peter K. F. Grieder
Publisher: Springer Science & Business Media
ISBN: 3540769412
Category : Science
Languages : en
Pages : 1118

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Extensive air showers are a very unique phenomenon. In the more than six decades since their discovery by Auger and collaborators we have learned a lot about these extremely energetic events and gained deep insight into high-energy phenomena, particle physics and astrophysics. In this Tutorial, Reference Manual and Data Book Peter K. F. Grieder provides the reader with a comprehensive view of the phenomenology and facts of the various types of interactions and cascades, theoretical background, experimental methods, data evaluation and interpretation and air shower simulation. He discusses astrophysical aspects of the primary radiation and addresses remaining puzzling questions that cannot yet be answered. They remain as a challenge for present and future research in the field. The book is split into two volumes. Volume I deals mainly with the basic theoretical framework of the processes that determine an air shower and ends with a summary of ways and means to extract information from air shower observations on the primary radiation. It also presents a compilation of data of our current knowledge of the high energy portion of the primary spectrum and composition. Volume II contains mainly compilations of data of experimental and theoretical nature as well as predictions from simulations of individual air shower constituents. Also included are chapters dedicated exclusively to special processes and detection methods. Extensive up-to-date reference lists appear at the end of each chapter. Researchers and students working in the field of cosmic ray detection and astroparticle physics will appreciate finding this book in their library.

Author: C. van den Berg
Publisher: Springer Science & Business Media
ISBN: 146121128X
Category : Mathematics
Languages : en
Pages : 299

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Book Description
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
Publisher: Springer
ISBN: 3540393609
Category : Mathematics
Languages : en
Pages : 167

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Author: George W. Mackey
Publisher: American Mathematical Soc.
ISBN: 9780821890448
Category : Mathematics
Languages : en
Pages : 386

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''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: Herbert Hall Turner
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 72

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Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817646698
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Author: Jürgen Meyer
Publisher: Springer
ISBN: 9780387095165
Category : Science
Languages : en
Pages : 446

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Book Description
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.