A. Berenstein's Books

Harmonic Analysis, Signal Processing, and Complexity

Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein

By: Irene Sabadini,Daniele C. Struppa,David F. Walnut

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Harmonic Analysis, Signal Processing, and Complexity

Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein

By: Irene Sabadini,Daniele C. Struppa,David F. Walnut

* Original articles and survey articles in honor of the sixtieth birthday of Carlos A. Berenstein reflect his diverse research interests from interpolation to residue theory to deconvolution and its applications to issues ranging from optics to the study of blood flow * Contains both theoretical papers in harmonic and complex analysis, as well as more applied work in signal processing * Top-notch contributors in their respective fields

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172

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644164

ISBN 13

9780817644161

Complex Variables

An Introduction

By: Carlos A. Berenstein,Roger Gay

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Complex Variables

An Introduction

By: Carlos A. Berenstein,Roger Gay

This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions, and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. To further illuminate the material, a large number of exercises of differing levels of difficulty have been added.

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694

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387973494

ISBN 13

9780387973494

Neuro-vascular Neuro-ophthalmology

By: Mark J. Kupersmith

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Neuro-vascular Neuro-ophthalmology

By: Mark J. Kupersmith

Neuro-ophthalmological symptoms frequently arise in disorders which alter the intracranial and intraorbital circulation. Because of the wide range of sensory and cognitive systems involved in vision and eye movements, visual disturbances are typically found in the common vascular disorders, such as atherosclerosis, migraine, and aneurysms, but can also result from practically any, common or rare,local or systemic vascular disorder. The dysfunction can be part of a largersyndrome or the predominant clinical abnormality. Many of the newer concepts concerning the diagnosis and treatment of neurovascular disorders have evolved in consequence of advances in techniques for neuroimaging such as MRI; methods of measuring systemic coagulation and inflammation; and superselective catheterization ofabnormal blood vessels and vascular lesions. The neuroophthalmological evaluation of clinical signs and symptoms often leads to accurate localization and diagnosis of the lesion. Many of these clinical abnormalities, such as visual field defects and ocular misalignments, can be quantified and followed to assess either the natural history of the disorder or the effects of therapies. No one medical specialty can manage these neurovascular neuro-ophthalmological disorders alone. The complexity of diagnosis and treatment planning requires a multi- disciplinary team. This approach, bringing ophthalmologists, neurosurgeons, and neurologists together to confer in the management of these cases, has been pioneered by the authors' group at the New York University Medical Center.

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564

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642776205

ISBN 13

9783642776205

Surgical Neuroangiography

By: Pierre L. Lasjaunias,A. Berenstein,Alex Berenstein

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Surgical Neuroangiography

By: Pierre L. Lasjaunias,A. Berenstein,Alex Berenstein

In Volume 5 of Surgical Neuroangiography we will discuss indications and approaches for endovascular treatment of disorders affecting the spine and spinal cord circulations. Our approach is similar to those discussed in volume 2 and 4, it requires integration of knowledge concerning functional vascular anatomy, lesion angioarchitecture, and the relationship between normal and pathological circulations. In AVMs these features are considered as they relate to the clinical presen tation, progression, and natural history of the lesion. All these factors must then be combined with an understanding of technical capabilities to for mulate a pretherapeutic plan designed to favorably affect the long term out come in the individual patient. Endovascular surgery of spinal cord AVMs has become the treatment of choice, while microsurgery is reserved for those cases where embolization fails. Endovascular surgery may be the sole form of treatment, or may be combined with other therapeutic modalities including surgery, chemothera py, or radiation in cases of neoplasms, or may be palliative, to decrease pain or spinal cord compression. As in all other areas a multidisciplinary ap proach is essential for decision making to best accomplish the desired ob jectives.

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272

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540550437

ISBN 13

9783540550433

Laguerre Calculus and Its Applications on the Heisenberg Group

By: Carlos A. Berenstein,Der-chen E. Chang,Jingzhi Tie

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Laguerre Calculus and Its Applications on the Heisenberg Group

By: Carlos A. Berenstein,Der-chen E. Chang,Jingzhi Tie

For nearly two centuries, the relation between analytic functions of one complex variable, their boundary values, harmonic functions, and the theory of Fourier series has been one of the central topics of study in mathematics. The topic stands on its own, yet also provides very useful mathematical applications. This text provides a self-contained introduction to the corresponding questions in several complex variables: namely, analysis on the Heisenberg group and the study of the solutions of the boundary Cauchy-Riemann equations. In studying this material, readers are exposed to analysis in non-commutative compact and Lie groups, specifically the rotation group and the Heisenberg groups-both fundamental in the theory of group representations and physics. Introduced in a concrete setting are the main ideas of the Calderón-Zygmund-Stein school of harmonic analysis. Also considered in the book are some less conventional problems of harmonic and complex analysis, in particular, the Morera and Pompeiu problems for the Heisenberg group, which relates to questions in optics, tomography, and engineering. The book was borne of graduate courses and seminars held at the University of Maryland (College Park), the University of Toronto (ON), Georgetown University (Washington, DC), and the University of Georgia (Athens). Readers should have an advanced undergraduate understanding of Fourier analysis and complex analysis in one variable.

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Page Count

333

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827618

ISBN 13

9780821827611

Surgical Neuroangiography

Vol. 3: Clinical and Interventional Aspects in Children

By: P. Lasjaunias,K.G. ter Brugge,A. Berenstein

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Surgical Neuroangiography

Vol. 3: Clinical and Interventional Aspects in Children

By: P. Lasjaunias,K.G. ter Brugge,A. Berenstein

This volume completes the second edition series of Surgical Neuroangiography. It covers neurovascular diseases in neonates, infants, and children and details the clinical challenges involved in managing lesions of the brain, spinal cord, spine, and head and neck in the pediatric age group. Vascular malformations of the maxillofacial area have been. The specificities of the perinatal and infancy period are emphasized to illustrate the need for proper understanding of the characteristics of this age group and the inappropriateness of adult strategies extrapolated to children. All chapters have been substantially expanded.

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992

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540683208

ISBN 13

9783540683209

Complex Analysis and Special Topics in Harmonic Analysis

By: Carlos A. Berenstein,Roger Gay

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Complex Analysis and Special Topics in Harmonic Analysis

By: Carlos A. Berenstein,Roger Gay

A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

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491

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461384451

ISBN 13

9781461384458

Integral Geometry, Radon Transforms and Complex Analysis

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996

By: Carlos A. Berenstein,Peter F. Ebenfelt,Simon Gindikin,Sigurdur Helgason,Alexander Tumanov

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Integral Geometry, Radon Transforms and Complex Analysis

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996

By: Carlos A. Berenstein,Peter F. Ebenfelt,Simon Gindikin,Sigurdur Helgason,Alexander Tumanov

This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

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166

Publisher

Springer

Published Date

ISBN 10

3540697020

ISBN 13

9783540697022

Interventional Neuroradiology

By: Anton Valavanis

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Interventional Neuroradiology

By: Anton Valavanis

The methods of interventional neuroradiology represent a distinct and difficult branch with in the new field of interventional radiology. The editor of this volume, Anton Valavanis, is a pioneer in this area, and one of the outstanding neuroradiologists in the world. Furthermore, he has brought together the foremost scientists and clinical neuroradiologists in the field to present the individual chapters. The book gives an overview ofthe state of the art in interventional neuroradiology. Each of the 12 chapters is devoted to a disease which can be treated by interventional neuroradio logical techniques. Pertinent information is provided on anatomical detail, technical back ground, and clinical aspects; in each case a detailed description of the indications, techniques, and possible complications of interventional neuroradiology is provided. Due consideration is given to the endovascular and nonvascular applications of the techniques. This book is the first comprehensive update of interventional neuroradiology and will acquaint the reader with well-established facts, recent advances, and future perspectives within this new discipline. It will be of special value to those working in neuroradiology but will also prove very helpful for neurosurgeons, neurologists, and ophthalmologists, as well as all physicians and researchers in the clinical neurosciences. We hope that the book will meet with the reception and success that it undoubtedly merits.

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302

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Springer Science & Business Media

Published Date

ISBN 10

3642844340

ISBN 13

9783642844348

Surgical Neuroangiography

1 Functional Anatomy of Craniofacial Arteries

By: Pierre Lasjaunias,Alejandro Berenstein

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Surgical Neuroangiography

1 Functional Anatomy of Craniofacial Arteries

By: Pierre Lasjaunias,Alejandro Berenstein

Embolization has been performed in many European countries and in North America for over 20 years and is now beginning to gain accep tance in other countries. At first, experience with these techniques was shared in the form of individual case reports; today some centers have treated enough patients to be able to transform this anecdotal material into more concrete data. For the last 10 of these 20 years, the two of us have been deeply involved, encouraged, and stimulated by the interest created by the few pioneers in endovascular techniques. In 1978, when we first met, our discussion on embolization could have been summarized as disagreement. It soon became obvious that these differences were primarily related to our different individual back grounds. One of us having a strong orientation toward anatomy, and the other toward technique. We realized that these apparently opposing approaches complement each other and decided to combine them to our mutual benefit. This collaboration has matured into the search for improvements in patient care and for the safest, most reliable, and most responsible manner of treatment.

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413

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Springer

Published Date

ISBN 10

3540165347

ISBN 13

9783540165347

Surgical Neuroangiography

Endocascular Treatment of Cerebral Problems

By: Pierre L. Lasjaunias,Alejandro Berenstein,Alex Berenstein

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Surgical Neuroangiography

Endocascular Treatment of Cerebral Problems

By: Pierre L. Lasjaunias,Alejandro Berenstein,Alex Berenstein

(V.4 of 5 vol. set) Classification of malformations; technical aspects; mgmt. of arteriovenous fistulas.

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Page Count

344

Publisher

Springer Verlag

Published Date

ISBN 10

0387175008

ISBN 13

9780387175003

Surgical Neuroangiography

1 Functional Anatomy of Craniofacial Arteries

By: Pierre Lasjaunias,Alejandro Berenstein

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Surgical Neuroangiography

1 Functional Anatomy of Craniofacial Arteries

By: Pierre Lasjaunias,Alejandro Berenstein

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413

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Springer

Published Date

ISBN 10

3540165347

ISBN 13

9783540165347

Surgical Neuroangiography

By: Pierre L. Lasjaunias,A. Berenstein,Alex Berenstein

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Surgical Neuroangiography

By: Pierre L. Lasjaunias,A. Berenstein,Alex Berenstein

see Vol. 4 ISBN 17500-8

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250

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Springer Science & Business Media

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ISBN 10

3540550437

ISBN 13

9783540550433

Book's by A. Berenstein

Harmonic Analysis, Signal Processing, and Complexity

Harmonic Analysis, Signal Processing, and Complexity

Complex Variables

Complex Variables

Neuro-vascular Neuro-ophthalmology

Neuro-vascular Neuro-ophthalmology

Surgical Neuroangiography

Surgical Neuroangiography

Laguerre Calculus and Its Applications on the Heisenberg Group

Laguerre Calculus and Its Applications on the Heisenberg Group

Surgical Neuroangiography

Surgical Neuroangiography

Complex Analysis and Special Topics in Harmonic Analysis

Complex Analysis and Special Topics in Harmonic Analysis

Integral Geometry, Radon Transforms and Complex Analysis

Integral Geometry, Radon Transforms and Complex Analysis

Interventional Neuroradiology

Interventional Neuroradiology

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

Surgical Neuroangiography

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