Integral Geometry and Convolution Equations
Autor V.V. Volchkoven Limba Engleză Hardback – 31 oct 2003
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 635.63 lei 6-8 săpt. | |
SPRINGER NETHERLANDS – 26 oct 2012 | 635.63 lei 6-8 săpt. | |
Hardback (1) | 642.98 lei 6-8 săpt. | |
SPRINGER NETHERLANDS – 31 oct 2003 | 642.98 lei 6-8 săpt. |
Preț: 642.98 lei
Preț vechi: 756.44 lei
-15% Nou
Puncte Express: 964
Preț estimativ în valută:
123.09€ • 127.95$ • 102.06£
123.09€ • 127.95$ • 102.06£
Carte tipărită la comandă
Livrare economică 05-19 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9781402016288
ISBN-10: 140201628X
Pagini: 454
Ilustrații: XII, 454 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.86 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 140201628X
Pagini: 454
Ilustrații: XII, 454 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.86 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1. Preliminaries.- 1 Sets and Mappings.- 2 Some Classes of Functions.- 3 Distributions.- 4 Some Special Functions.- 5 Some Results Related to Spherical Harmonics.- 6 Fourier Transform and Related Questions.- 7 Partial Differential Equations.- 8 Radon Transform Over Hyperplanes.- 9 Comments And Open Problems.- 2. Functions with zero integrals over balls of a fixed radius.- 1 Functions With Zero Averages Over Balls on Subsets of The Space ?n.- 2 Averages Over Balls on Hyperbolic Spaces.- 3 Functions With Zero Integrals Over Spherical Caps.- 4 Comments And Open Problems.- 3. Convolution equation on domains in ?n.- 1 One-Dimensional Case.- 2 General Solution Of Convolution Equation In Domains With Spherical Symmetry.- 3 Behavior of Solutions of Convolution Equation at Infinity.- 4 Systems Of Convolution Equations.- 5 Comments And Open Problems.- 4. Extremal versions of the Pompeiu problem.- 1 Sets With The Pompeiu Property.- 2 Functions With Vanishing Integrals Over Parallelepipeds.- 3 Polyhedra With Local Pompeiu Property.- 4 Functions with Vanishing Integrals over Ellipsoids.- 5 Other Sets With Local Pompeiu Property.- 6 The ‘Three Squares’ Problem And Related Questions.- 7 Injectivity Sets of the Pompeiu Transform.- 8 Comments and Open Problems.- 5. First applications and related questions.- 1 Injectivity Sets For Spherical Radon Transform.- 2 Some Questions Of Approximation Theory.- 3 Gap Theorems.- 4 Morera Type Theorems.- 5 Mean Value Characterization of Various Classes of Functions.- 6 Applications To Partial Differential Equations.- 7 Some Questions Of Measure Theory.- 8 Functions With Zero Integrals In Problems Of The Discrete Geometry.- 9 Comments And Open Problems.- Author Index.- Basic Notations.
Recenzii
From the reviews:
"The book under review reflects the modern state of the results and is mainly based on the results of the author. … is written in a very clear manner and should be useful both for experts in the field and for postgraduate students. The wide list of citations includes more than 250 items." (Nikolai K. Karapetyants, Zentralblatt MATH, Vol. 1043 (18), 2004)
"The book is devoted to the problem of injectivity for convolution operators of geometric nature. … A survey of works in the area by other authors is presented as well. The monograph contains a collection of interesting and original results … . The book will be of interest for specialists in analysis, in particular, in harmonic analysis, spectral theory, invariant function spaces and integral equations. It may serve as a source for further research in the area." (Mark Agranovsky, Mathematical Reviews, Issue 2005 e)
"The book under review reflects the modern state of the results and is mainly based on the results of the author. … is written in a very clear manner and should be useful both for experts in the field and for postgraduate students. The wide list of citations includes more than 250 items." (Nikolai K. Karapetyants, Zentralblatt MATH, Vol. 1043 (18), 2004)
"The book is devoted to the problem of injectivity for convolution operators of geometric nature. … A survey of works in the area by other authors is presented as well. The monograph contains a collection of interesting and original results … . The book will be of interest for specialists in analysis, in particular, in harmonic analysis, spectral theory, invariant function spaces and integral equations. It may serve as a source for further research in the area." (Mark Agranovsky, Mathematical Reviews, Issue 2005 e)