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Some random series of functions

Author: Jean-Pierre Kahane
Publisher: Cambridge ; New York : Cambridge University Press, 1985.
Series: Cambridge studies in advanced mathematics, 5.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

Now in a paperback edition for the first time, this second edition of Some Random Series of Functions covers random series in Banach and Hilbert spaces, random Taylor or Fourier series, Brownian  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jean-Pierre Kahane
ISBN: 052124966X 9780521249669 0521456029 9780521456029
OCLC Number: 11550081
Description: xiii, 305 pages ; 24 cm
Contents: 1. A few tools from probability theory; 2. Random series in a Banach space; 3. Random series in a Hilbert space; 4. Random Taylor series; 5. Random Fourier series; 6. A bound for random trigonometric polynomials; 7. Conditions on coefficients for regularity; 8. Conditions on coefficients for irregularity; 9. Random point masses on the circle; 10. A few geometric notions; 11. Random translates and coverings; 12. Gaussian variables and Gaussian series; 13. Gaussian Taylor series; 14. Gaussian Fourier series; 15. Boundedness and continuity for Gaussian processes; 16. The Brownian motion; 17. Brownian images in harmonic analysis; 18. Fractional Brownian images and level sets.
Series Title: Cambridge studies in advanced mathematics, 5.
Responsibility: Jean-Pierre Kahane.
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'This is not an easy book, but a rewarding one, certain to have a wide influence.' American Scientist 'Kahane's book is more like a ramble through fine countryside. At every mile one is rewarded with Read more...

 
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<http:\/\/www.worldcat.org\/oclc\/11550081<\/a>> # Some random series of functions<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"11550081<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Place\/cambridge<\/a>> ; # Cambridge<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/functions<\/a>> ; # Functions<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/515\/e19\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/funktionenreihe<\/a>> ; # Funktionenreihe<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series<\/a>> ; # Series<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/fonctions_mathematiques<\/a>> ; # Fonctions (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/variables_aleatoires<\/a>> ; # Variables al\u00E9atoires<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/random_variables<\/a>> ; # RANDOM VARIABLES<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/stochastic_processes<\/a>> ; # STOCHASTIC PROCESSES<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Thing\/functions_mathematics<\/a>> ; # Functions (Mathematics)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/519.2\/e19\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/zufallsvariable<\/a>> ; # Zufallsvariable<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series_mathematiques<\/a>> ; # S\u00E9ries (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/processus_stochastiques<\/a>> ; # Processus stochastiques<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series_mathematics<\/a>> ; # SERIES (MATHEMATICS)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Thing\/stochastic_processes<\/a>> ; # Stochastic processes<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/functions_mathematics<\/a>> ; # FUNCTIONS (MATHEMATICS)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/31_70_probability<\/a>> ; # 31.70 probability<\/span>\n\u00A0\u00A0\u00A0\nschema:bookEdition<\/a> \"2nd ed.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/36953906<\/a>> ; # Jean-Pierre Kahane<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1985<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/1565285<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Series\/cambridge_studies_in_advanced_mathematics<\/a>> ; # Cambridge studies in advanced mathematics ;<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Some random series of functions<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"11550081<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/11550081#PublicationEvent\/cambridge_new_york_cambridge_university_press_1985<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Agent\/cambridge_university_press<\/a>> ; 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Related Entities<\/h3>\n
<http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> # New York<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"New York<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/515\/e19\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/519.2\/e19\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Agent\/cambridge_university_press<\/a>> # Cambridge University Press<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge University Press<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Place\/cambridge<\/a>> # Cambridge<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Series\/cambridge_studies_in_advanced_mathematics<\/a>> # Cambridge studies in advanced mathematics ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/11550081<\/a>> ; # Some random series of functions<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge studies in advanced mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Thing\/functions_mathematics<\/a>> # Functions (Mathematics)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Functions (Mathematics)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Thing\/stochastic_processes<\/a>> # Stochastic processes<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Stochastic processes<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/31_70_probability<\/a>> # 31.70 probability<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"31.70 probability<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/fonctions_mathematiques<\/a>> # Fonctions (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fonctions (math\u00E9matiques)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fonctions (Math\u00E9matiques)<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/functions<\/a>> # Functions<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Functions<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/functions_mathematics<\/a>> # FUNCTIONS (MATHEMATICS)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"FUNCTIONS (MATHEMATICS)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/funktionenreihe<\/a>> # Funktionenreihe<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Funktionenreihe<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/processus_stochastiques<\/a>> # Processus stochastiques<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Processus stochastiques<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Processus stochastiques<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/random_variables<\/a>> # RANDOM VARIABLES<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"RANDOM VARIABLES<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Random variables<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series<\/a>> # Series<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Series<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series_mathematics<\/a>> # SERIES (MATHEMATICS)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"SERIES (MATHEMATICS)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/series_mathematiques<\/a>> # S\u00E9ries (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"S\u00E9ries (math\u00E9matiques)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"S\u00E9ries (Math\u00E9matiques)<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/stochastic_processes<\/a>> # STOCHASTIC PROCESSES<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"STOCHASTIC PROCESSES<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Stochastic processes<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/variables_aleatoires<\/a>> # Variables al\u00E9atoires<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Variables al\u00E9atoires<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Topic\/zufallsvariable<\/a>> # Zufallsvariable<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Zufallsvariable<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"enk<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/36953906<\/a>> # Jean-Pierre Kahane<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Kahane<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Jean-Pierre<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Jean-Pierre Kahane<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780521249669<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"052124966X<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780521249669<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780521456029<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0521456029<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780521456029<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/11550081<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/11550081<\/a>> ; # Some random series of functions<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-02-21<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/11550081#PublicationEvent\/cambridge_new_york_cambridge_university_press_1985<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Place\/cambridge<\/a>> ; # Cambridge<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1565285#Agent\/cambridge_university_press<\/a>> ; # Cambridge University Press<\/span>\n\u00A0\u00A0\u00A0\nschema:startDate<\/a> \"1985<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n