Distributions, partial differential equations, and harmonic analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461482079 9781461482086 |
| DOI: | 10.1007/978-1-4614-8208-6 |
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Datensatz im Suchindex
| _version_ | 1804151478401630208 |
|---|---|
| adam_text | DISTRIBUTIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND HARMONIC ANALYSIS
/ MITREA, DORINA
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SUMMARY OF TOPOLOGICAL AND FUNCTIONAL ANALYSIS RESULTS
WEAK DERIVATIVES
THE SPACE D0() OF DISTRIBUTIONS
THE FOURIER TRANSFORM
THE SPACE OF TEMPERED DISTRIBUTIONS
FUNDAMENTAL SOLUTION
THE LAPLACE OPERATOR
THE HEAT OPERATOR
THE WAVE OPERATOR
THE LAME OPERATOR
FUNDAMENTAL SOLUTIONS FOR OTHER OPERATORS
HYPOELLIPTIC OPERATORS
SOBOLEV SPACES
APPENDIX
REFERENCES.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DISTRIBUTIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND HARMONIC ANALYSIS
/ MITREA, DORINA
: 2013
ABSTRACT / INHALTSTEXT
THE AIM OF THIS BOOK IS TO OFFER, IN A CONCISE, RIGOROUS, AND LARGELY
SELF-CONTAINED MANNER, A RAPID INTRODUCTION TO THE THEORY OF
DISTRIBUTIONS AND ITS APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS AND
HARMONIC ANALYSIS. THE BOOK IS WRITTEN IN A FORMAT SUITABLE FOR A
GRADUATE COURSE SPANNING EITHER OVER ONE-SEMESTER, WHEN THE FOCUS IS
PRIMARILY ON THE FOUNDATIONAL ASPECTS, OR OVER A TWO-SEMESTER PERIOD
THAT ALLOWS FOR THE PROPER AMOUNT OF TIME TO COVER ALL INTENDED
APPLICATIONS AS WELL. IT PRESENTS A BALANCED TREATMENT OF THE TOPICS
INVOLVED, AND CONTAINS A LARGE NUMBER OF EXERCISES (UPWARDS OF TWO
HUNDRED, MORE THAN HALF OF WHICH ARE ACCOMPANIED BY SOLUTIONS), WHICH
HAVE BEEN CAREFULLY CHOSEN TO AMPLIFY THE EFFECT, AND SUBSTANTIATE THE
POWER AND SCOPE, OF THE THEORY OF DISTRIBUTIONS. GRADUATE STUDENTS,
PROFESSIONAL MATHEMATICIANS, AND SCIENTIFICALLY TRAINED PEOPLE WITH A
WIDE SPECTRUM OF MATHEMATICAL INTERESTS WILL FIND THIS BOOK TO BE A
USEFUL RESOURCE AND COMPLETE SELF-STUDY GUIDE. THROUGHOUT, A SPECIAL
EFFORT HAS BEEN MADE TO DEVELOP THE THEORY OF DISTRIBUTIONS NOT AS AN
ABSTRACT EDIFICE BUT RATHER GIVE THE READER A CHANCE TO SEE THE
RATIONALE BEHIND VARIOUS SEEMINGLY TECHNICAL DEFINITIONS, AS WELL AS THE
OPPORTUNITY TO APPLY THE NEWLY DEVELOPED TOOLS (IN THE NATURAL BUILD-UP
OF THE THEORY) TO CONCRETE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS
AND HARMONIC ANALYSIS, AT THE EARLIEST OPPORTUNITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Mitrea, Dorina 1965- |
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| author_role | aut |
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| ctrlnum | (OCoLC)859364186 (DE-599)DNB1042060150 |
| dewey-full | 610 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 610 - Medicine and health |
| dewey-raw | 610 |
| dewey-search | 610 |
| dewey-sort | 3610 |
| dewey-tens | 610 - Medicine and health |
| discipline | Mathematik Medizin |
| doi_str_mv | 10.1007/978-1-4614-8208-6 |
| format | Electronic eBook |
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| spelling | Mitrea, Dorina 1965- Verfasser (DE-588)140077642 aut Distributions, partial differential equations, and harmonic analysis Dorina Mitrea Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Harmonische Analyse (DE-588)4023453-8 s Pseudodifferentialoperator (DE-588)4047640-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-8208-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830030&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830030&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mitrea, Dorina 1965- Distributions, partial differential equations, and harmonic analysis Partielle Differentialgleichung (DE-588)4044779-0 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4047640-6 (DE-588)4023453-8 |
| title | Distributions, partial differential equations, and harmonic analysis |
| title_auth | Distributions, partial differential equations, and harmonic analysis |
| title_exact_search | Distributions, partial differential equations, and harmonic analysis |
| title_full | Distributions, partial differential equations, and harmonic analysis Dorina Mitrea |
| title_fullStr | Distributions, partial differential equations, and harmonic analysis Dorina Mitrea |
| title_full_unstemmed | Distributions, partial differential equations, and harmonic analysis Dorina Mitrea |
| title_short | Distributions, partial differential equations, and harmonic analysis |
| title_sort | distributions partial differential equations and harmonic analysis |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Partielle Differentialgleichung Pseudodifferentialoperator Harmonische Analyse |
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