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  <titleInfo>
    <title>Higher Order Fourier Analysis</title>
  </titleInfo>
  <name type="personal">
    <namePart>Tao, Terence</namePart>
    <role>
      <roleTerm authority="marcrelator" type="text">creator</roleTerm>
    </role>
  </name>
  <name type="personal">
    <namePart>Tao, Terence</namePart>
  </name>
  <typeOfResource>text</typeOfResource>
  <originInfo>
    <place>
      <placeTerm type="text">Island</placeTerm>
    </place>
    <publisher>: American Mathematical Society</publisher>
    <dateIssued>2012</dateIssued>
    <issuance>monographic</issuance>
  </originInfo>
  <language>
    <languageTerm authority="iso639-2b" type="code">eng</languageTerm>
  </language>
  <physicalDescription>
    <form authority="marcform">print</form>
    <extent>x, 187 pages  ; 26 cm</extent>
  </physicalDescription>
  <tableOfContents>Higher order Fourier analysis. Equidistribution of polynomial sequences in tori --
Roth's theorem --
Linear patterns --
Equidistribution of polynomials over finite fields --
The inverse conjecture for the Gowers norm I. The finite field case --
The inverse conjecture for the Gowers norm II. The integer case --
Liner equations in primes --
Related articles. Ultralimit analysis and quantitative algebraic geometry --
Higher order Hilbert spaces --
The uncertainty principle.</tableOfContents>
  <note type="statement of responsibility">/ Terence Tao</note>
  <subject>
    <topic>Mathematics</topic>
  </subject>
  <subject>
    <topic>Analysis</topic>
  </subject>
  <subject>
    <topic>Fourier analysis</topic>
  </subject>
  <subject>
    <topic>Harmonische Analyse</topic>
  </subject>
  <subject>
    <topic>Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity</topic>
  </subject>
  <subject>
    <topic>Number theory -- Connections with logic -- Ultraproducts</topic>
  </subject>
  <subject>
    <topic>Number theory -- Exponential sums and character sums -- Estimates on exponential sums</topic>
  </subject>
  <classification authority="ddc">515.2433 TAO</classification>
  <identifier type="isbn">9781470425883</identifier>
  <identifier type="">:Raghav Books Private Limited :A-184 Nand Gram Ghaziabad </identifier>
  <recordInfo>
    <recordCreationDate encoding="marc">211201</recordCreationDate>
    <recordChangeDate encoding="iso8601">20211217112306.0</recordChangeDate>
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