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Fourier analysis and approximation of functions
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of i...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
Kluwer
2004
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/978-1-4020-2876-2 http://cds.cern.ch/record/828968 |
| _version_ | 1780905778451841024 |
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| author | Trigub, Roald M Bellinsky, Eduard S |
| author_facet | Trigub, Roald M Bellinsky, Eduard S |
| author_sort | Trigub, Roald M |
| collection | CERN |
| description | In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorem |
| id | cern-828968 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2004 |
| publisher | Kluwer |
| record_format | invenio |
| spelling | cern-8289682021-04-22T02:23:59Zdoi:10.1007/978-1-4020-2876-2http://cds.cern.ch/record/828968engTrigub, Roald MBellinsky, Eduard SFourier analysis and approximation of functionsMathematical Physics and MathematicsIn Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theoremKluweroai:cds.cern.ch:8289682004 |
| spellingShingle | Mathematical Physics and Mathematics Trigub, Roald M Bellinsky, Eduard S Fourier analysis and approximation of functions |
| title | Fourier analysis and approximation of functions |
| title_full | Fourier analysis and approximation of functions |
| title_fullStr | Fourier analysis and approximation of functions |
| title_full_unstemmed | Fourier analysis and approximation of functions |
| title_short | Fourier analysis and approximation of functions |
| title_sort | fourier analysis and approximation of functions |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1007/978-1-4020-2876-2 http://cds.cern.ch/record/828968 |
| work_keys_str_mv | AT trigubroaldm fourieranalysisandapproximationoffunctions AT bellinskyeduards fourieranalysisandapproximationoffunctions |