Integral transforms, reproducing kernels and their applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman Scientific & Techn.
1997
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
369 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 280 S. |
| ISBN: | 0582317584 |
Internformat
MARC
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| 245 | 1 | 0 | |a Integral transforms, reproducing kernels and their applications |c S Saitoh |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow |b Longman Scientific & Techn. |c 1997 | |
| 300 | |a 280 S. | ||
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| 650 | 4 | |a Integral transforms | |
| 650 | 4 | |a Kernel functions | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface
Acknowledgments
1. Introduction 1
2. Reproducing kernel Hilbert spaces 20
§1 Fundamental theorems of linear transforms 20
§2 Elementary properties of reproducing kernel Hilbert spaces 34
§3 Generations of reproducing kernel Hilbert spaces 43
§4 Examples of reproducing kernels 53
§5 Realizations of reproducing kernel Hilbert spaces 87
3. Isometrical identities and inversion formulas 97
§1 Laplace and Fourier transforms 97
§2 The heat equation 128
§3 The wave equation 143
§4 Analytic and harmonic functions of class Li 154
§5 The Meyer wavelets 168
4. Applications to the approximation of functions 178
§1 Best approximations by the functions in a RKHS 178
§2 Approximations in reproducing kernel Hilbert spaces 189
5. Applications to analytic extension formulas and real inversion
formulas for the Laplace transform 200
§1 Representations of the norms in Bergman Selberg spaces 200
§2 Real inversion formulas for the Laplace transform 211
6. Applications to source inverse problems 218
§1 Inverse source formulas in Poisson s equation 218
§2 Inverse source formulas for Helmholtz s equation 229
Appendix 1. Applications to representations of inverse functions 237
§1 A general approach 237
§2 Reasonable settings 239
§3 Examples 240
Appendix 2. Natural norm inequalities in nonlinear transforms 243
§1 General principles 243
§2 Concrete examples 248
Appendix 3. Stability of Lipschitz type in determination of initial
heat distribution 259
§1 Introduction and theorem 259
§2 Proof of theorem 262
References 267
Books 267
Articles 272
|
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| id | DE-604.BV011533425 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:11:22Z |
| institution | BVB |
| isbn | 0582317584 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007762800 |
| oclc_num | 37197250 |
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| physical | 280 S. |
| publishDate | 1997 |
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| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Saitoh, Saburou Verfasser aut Integral transforms, reproducing kernels and their applications S Saitoh 1. publ. Harlow Longman Scientific & Techn. 1997 280 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 369 Integraaltransformaties gtt Integral transforms Kernel functions Integraltransformation (DE-588)4027235-7 gnd rswk-swf Integraltransformation (DE-588)4027235-7 s DE-604 Pitman research notes in mathematics series 369 (DE-604)BV000022845 369 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007762800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Saitoh, Saburou Integral transforms, reproducing kernels and their applications Pitman research notes in mathematics series Integraaltransformaties gtt Integral transforms Kernel functions Integraltransformation (DE-588)4027235-7 gnd |
| subject_GND | (DE-588)4027235-7 |
| title | Integral transforms, reproducing kernels and their applications |
| title_auth | Integral transforms, reproducing kernels and their applications |
| title_exact_search | Integral transforms, reproducing kernels and their applications |
| title_full | Integral transforms, reproducing kernels and their applications S Saitoh |
| title_fullStr | Integral transforms, reproducing kernels and their applications S Saitoh |
| title_full_unstemmed | Integral transforms, reproducing kernels and their applications S Saitoh |
| title_short | Integral transforms, reproducing kernels and their applications |
| title_sort | integral transforms reproducing kernels and their applications |
| topic | Integraaltransformaties gtt Integral transforms Kernel functions Integraltransformation (DE-588)4027235-7 gnd |
| topic_facet | Integraaltransformaties Integral transforms Kernel functions Integraltransformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007762800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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