Fourier analysis and stochastic processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319095905 |
| DOI: | 10.1007/978-3-319-09590-5 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152570885701632 |
|---|---|
| adam_text | FOURIER ANALYSIS AND STOCHASTIC PROCESSES
/ BREMAUD, PIERRE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOURIER ANALYSIS OF FUNCTIONS
FOURIER THEORY OF PROBABILITY DISTRIBUTIONS
FOURIER ANALYSIS OF STOCHASTIC PROCESSES
FOURIER ANALYSIS OF TIME SERIES
POWER SPECTRA OF POINT PROCESSES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FOURIER ANALYSIS AND STOCHASTIC PROCESSES
/ BREMAUD, PIERRE
: 2014
ABSTRACT / INHALTSTEXT
THIS WORK IS UNIQUE AS IT PROVIDES A UNIFORM TREATMENT OF THE FOURIER
THEORIES OF FUNCTIONS (FOURIER TRANSFORMS AND SERIES, Z-TRANSFORMS),
FINITE MEASURES (CHARACTERISTIC FUNCTIONS, CONVERGENCE IN DISTRIBUTION),
AND STOCHASTIC PROCESSES (INCLUDING ARMA SERIES AND POINT PROCESSES). IT
EMPHASISES THE LINKS BETWEEN THESE THREE THEMES. THE CHAPTER ON THE
FOURIER THEORY OF POINT PROCESSES AND SIGNALS STRUCTURED BY POINT
PROCESSES IS A NOVEL ADDITION TO THE LITERATURE ON FOURIER ANALYSIS OF
STOCHASTIC PROCESSES. IT ALSO CONNECTS THE THEORY WITH RECENT LINES OF
RESEARCH SUCH AS BIOLOGICAL SPIKE SIGNALS AND ULTRAWIDE-BAND
COMMUNICATIONS. ALTHOUGH THE TREATMENT IS MATHEMATICALLY RIGOROUS, THE
CONVIVIAL STYLE MAKES THE BOOK ACCESSIBLE TO A LARGE AUDIENCE. IN
PARTICULAR, IT WILL BE INTERESTING TO ANYONE WORKING IN ELECTRICAL
ENGINEERING AND COMMUNICATIONS, BIOLOGY (POINT PROCESS SIGNALS) AND
ECONOMETRICS (ARMA MODELS). A CAREFUL REVIEW OF THE PREREQUISITES
(INTEGRATION AND PROBABILITY THEORY IN THE APPENDIX, HILBERT SPACES IN
THE FIRST CHAPTER) MAKE THE BOOK SELF-CONTAINED. EACH CHAPTER HAS AN
EXERCISE SECTION, WHICH MAKES FOURIER ANALYSIS AND STOCHASTIC PROCESSES
SUITABLE FOR A GRADUATE COURSE IN APPLIED MATHEMATICS, AS WELL AS FOR
SELF-STUDY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| bvnumber | BV042104798 |
| callnumber-first | Q - Science |
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| subject_GND | (DE-588)4023453-8 (DE-588)4057630-9 |
| title | Fourier analysis and stochastic processes |
| title_auth | Fourier analysis and stochastic processes |
| title_exact_search | Fourier analysis and stochastic processes |
| title_full | Fourier analysis and stochastic processes Pierre Brémaud |
| title_fullStr | Fourier analysis and stochastic processes Pierre Brémaud |
| title_full_unstemmed | Fourier analysis and stochastic processes Pierre Brémaud |
| title_short | Fourier analysis and stochastic processes |
| title_sort | fourier analysis and stochastic processes |
| topic | Harmonische Analyse (DE-588)4023453-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Harmonische Analyse Stochastischer Prozess |
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