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تعداد نتایج: 401

Harmonic Analysis and Integral Geometry

By Massimo Picardello
Publisher: CRC Press, 2019-05-08
Pages: 180
Language: en
ISBN_13:9781482285697
ISBN_10:148228569X
Subject: Mathematics

By Fulton B. Gonzalez
2010
Pages: 125
Language: en
OTHER:OCLC:640068617
Subject: Harmonic analysis

Representation Theory, Complex Analysis, and Integral Geometry

جزئیات و درخواست

By Bernhard Krötz, Omer Offen, Eitan Sayag
Publisher: Springer Science & Business Media, 2011-12-14
Pages: 282
Language: en
ISBN_13:9780817648176
ISBN_10:0817648178
Subject: Mathematics

Geometric Analysis

Proceedings of an AMS Special Session Held October 12-13, 19...

جزئیات و درخواست

By Eric Grinberg
Publisher: American Mathematical Soc., 1992
Pages: 178
Language: en
ISBN_13:9780821851531
ISBN_10:0821851535
Subject: Mathematics

Groups and Geometric Analysis

Integral Geometry, Invariant Differential Operators, and Sph...

جزئیات و درخواست

By Sigurdur Helgason
Publisher: American Mathematical Soc., 2000
Pages: 693
Language: en
ISBN_13:9780821826737
ISBN_10:0821826735
Subject: Mathematics

Integral Geometry, Radon Transforms and Complex Analysis

Lectures given at the 1st Session of the Centro Internaziona...

جزئیات و درخواست

By Carlos A. Berenstein, Peter F. Ebenfelt, Simon Gindikin, Sigurdur Helgason, Alexander Tumanov
Publisher: Springer, 2006-11-14
Pages: 166
Language: en
ISBN_13:9783540697022
ISBN_10:3540697020
Subject: Mathematics

Integral Geometry and Convolution Equations

جزئیات و درخواست

By V.V. Volchkov
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 466
Language: en
ISBN_13:9789401000239
ISBN_10:9401000239
Subject: Mathematics

Selected Topics in Integral Geometry

$The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. Moreover, many important practical applications were discovered. The best known, but by no means the only one, being to medical tomography. This book is a general introduction to integral geometry, the first from this point of view for almost four decades. The authors, all leading experts in the field, represent one of the most influential schools in integral geometry. The book presents in detail basic examples of integral geometry problems, such as the Radon transform on the plane and in space, the John transform, the Minkowski-Funk transform, integral geometry on the hyperbolic plane and in the hyperbolic space, the horospherical transform and its relation to representations of $SL(2,\mathbb C)$, integral geometry on quadrics, etc. The study of these examples allows the authors to explain important general topics of integral geometry, such as the Cavalieri conditions, local and nonlocal inversion formulas, and overdetermined problems in integral geometry. Many of the results in the book were obtained by the authors in the course of their career-long work in integral geometry. This book is suitable for graduate students and researchers working in integral geometry and its applications.$

جزئیات و درخواست

By Izrailʹ Moiseevich Gelʹfand, Semen Grigorʹevich Gindikin, Mark Iosifovich Graev
Publisher: American Mathematical Soc., 2003
Pages: 136
Language: en
ISBN_10:0821829327
ISBN_13:9780821829325
Subject: Integral geometry

Geometric Harmonic Analysis V

Fredholm Theory and Finer Estimates for Integral Operators, ...

جزئیات و درخواست

By Dorina Mitrea, Irina Mitrea, Marius Mitrea
Publisher: Springer Nature, 2023-08-22
Pages: 1006
Language: en
ISBN_13:9783031315619
ISBN_10:3031315618
Subject: Mathematics

Geometric Aspects of Harmonic Analysis

جزئیات و درخواست

By Paolo Ciatti, Alessio Martini
Publisher: Springer Nature, 2021-09-27
Pages: 488
Language: en
ISBN_13:9783030720582
ISBN_10:3030720586
Subject: Mathematics

Complex Analysis, Harmonic Analysis and Applications

جزئیات و درخواست

By Robert Deville, J Esterle, V Petkov, A Sebbar, A Yger
Publisher: CRC Press, 1996-04-30
Pages: 288
Language: en
ISBN_10:0582286980
ISBN_13:9780582286986
Subject: Mathematics

Integral Geometry and Tomography

Proceedings of the AMS-IMS-SIAM Joint Summer Research Confer...

جزئیات و درخواست

By Eric Grinberg, Eric Todd Quinto
Publisher: American Mathematical Soc., 1990
Pages: 266
Language: en
ISBN_13:9780821851203
ISBN_10:0821851209
Subject: Mathematics

Integral Geometry and Tomography

Proceedings of the AMS-IMS-SIAM Joint Summer Research Confer...

جزئیات و درخواست

By Eric Grinberg, Eric Todd Quinto, American Mathematical Society
Publisher: American Mathematical Soc., 1991-01-18
Pages: 270
Language: en
ISBN_10:0821854461
ISBN_13:9780821854464
Subject: Mathematics

Harmonic and Geometric Analysis

جزئیات و درخواست

By Giovanna Citti, Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong
Publisher: Birkhäuser, 2015-04-28
Pages: 178
Language: en
ISBN_13:9783034804080
ISBN_10:3034804083
Subject: Mathematics

Geometric Harmonic Analysis III

Integral Representations, Calderón-Zygmund Theory, Fatou The...

جزئیات و درخواست

By Dorina Mitrea, Irina Mitrea, Marius Mitrea
Publisher: Springer Nature, 2023-05-12
Pages: 980
Language: en
ISBN_13:9783031227356
ISBN_10:3031227352
Subject: Mathematics

Selected Topics in Integral Geometry

$The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. Moreover, many important practical applications were discovered, the best known, but by no means the only one, being to medical tomography. The present book is a general introduction to integral geometry, the first from this point of view for almost four decades. The authors, all leading experts in the field, represent one of the most influential schools in integral geometry. The book presents in detail basic examples of integral geometry problems, such as the Radon transform on the plane and in space, the John transform, the Minkowski-Funk transform, integral geometry on the hyperbolic plane and in the hyperbolic space, the horospherical transform and its relation to representations of $SL(2,\mathbb C)$, integral geometry on quadrics, etc. The study of these examples allows the authors to explain important general topics of integral geometry, such as the Cavalieri conditions, local and nonlocal inversion formulas, and overdetermined problems. Many of the results in the book were obtained by the authors in the course of their career-long work in integral geometry.$

جزئیات و درخواست

By Izrail_ Moiseevich Gel_fand, Semen Grigor_evich Gindikin, Mark Iosifovich Graev
Publisher: American Mathematical Soc., 2003-09-02
Pages: 192
Language: en
ISBN_10:0821898043
ISBN_13:9780821898048
Subject: Mathematics

Fractional Integrals, Potentials, and Radon Transforms

$Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type transforms in integral geometry. Beyond some basic properties of fractional integrals in one and many dimensions, this book also contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaud’s approach and its generalization, leading to wavelet type representations. New to this Edition Two new chapters and a new appendix, related to Radon transforms and harmonic analysis of linear operators commuting with rotations and dilations have been added. Contains new exercises and bibliographical notes along with a thoroughly expanded list of references. This book is suitable for mathematical physicists and pure mathematicians researching in the area of integral equations, integral transforms, and related harmonic analysis.$

جزئیات و درخواست

By Boris Rubin
Publisher: CRC Press, 2024-08-14
Pages: 565
Language: en
ISBN_13:9781040101933
ISBN_10:1040101933
Subject: Mathematics

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