Integral Geometry and Convolution Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H¨ ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems |
| Beschreibung: | 1 Online-Ressource (XII, 454 p) |
| ISBN: | 9789401000239 9789401039994 |
| DOI: | 10.1007/978-94-010-0023-9 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Volchkov, V. V. |
| author_facet | Volchkov, V. V. |
| author_role | aut |
| author_sort | Volchkov, V. V. |
| author_variant | v v v vv vvv |
| building | Verbundindex |
| bvnumber | BV042423773 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-010-0023-9 |
| format | Electronic eBook |
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| id | DE-604.BV042423773 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401000239 9789401039994 |
| language | English |
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| spelling | Volchkov, V. V. Verfasser aut Integral Geometry and Convolution Equations by V. V. Volchkov Dordrecht Springer Netherlands 2003 1 Online-Ressource (XII, 454 p) txt rdacontent c rdamedia cr rdacarrier Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H¨ ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems Mathematics Fourier analysis Integral equations Differential equations, partial Real Functions Partial Differential Equations Integral Equations Fourier Analysis Approximations and Expansions Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Faltungsgleichung (DE-588)4368138-4 gnd rswk-swf Radon-Transformation (DE-588)4479199-9 gnd rswk-swf Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Radon-Transformation (DE-588)4479199-9 s 1\p DE-604 Faltungsgleichung (DE-588)4368138-4 s 2\p DE-604 Integralgeometrie (DE-588)4161911-0 s 3\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 4\p DE-604 https://doi.org/10.1007/978-94-010-0023-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Volchkov, V. V. Integral Geometry and Convolution Equations Mathematics Fourier analysis Integral equations Differential equations, partial Real Functions Partial Differential Equations Integral Equations Fourier Analysis Approximations and Expansions Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Faltungsgleichung (DE-588)4368138-4 gnd Radon-Transformation (DE-588)4479199-9 gnd Integralgeometrie (DE-588)4161911-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4368138-4 (DE-588)4479199-9 (DE-588)4161911-0 |
| title | Integral Geometry and Convolution Equations |
| title_auth | Integral Geometry and Convolution Equations |
| title_exact_search | Integral Geometry and Convolution Equations |
| title_full | Integral Geometry and Convolution Equations by V. V. Volchkov |
| title_fullStr | Integral Geometry and Convolution Equations by V. V. Volchkov |
| title_full_unstemmed | Integral Geometry and Convolution Equations by V. V. Volchkov |
| title_short | Integral Geometry and Convolution Equations |
| title_sort | integral geometry and convolution equations |
| topic | Mathematics Fourier analysis Integral equations Differential equations, partial Real Functions Partial Differential Equations Integral Equations Fourier Analysis Approximations and Expansions Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Faltungsgleichung (DE-588)4368138-4 gnd Radon-Transformation (DE-588)4479199-9 gnd Integralgeometrie (DE-588)4161911-0 gnd |
| topic_facet | Mathematics Fourier analysis Integral equations Differential equations, partial Real Functions Partial Differential Equations Integral Equations Fourier Analysis Approximations and Expansions Mathematik Partielle Differentialgleichung Faltungsgleichung Radon-Transformation Integralgeometrie |
| url | https://doi.org/10.1007/978-94-010-0023-9 |
| work_keys_str_mv | AT volchkovvv integralgeometryandconvolutionequations |