Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Fourier Transforms in the Complex Domain
 
Fourier Transforms in the Complex Domain
Softcover ISBN:  978-0-8218-1019-4
Product Code:  COLL/19
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
eBook ISBN:  978-1-4704-3167-9
Product Code:  COLL/19.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Softcover ISBN:  978-0-8218-1019-4
eBook: ISBN:  978-1-4704-3167-9
Product Code:  COLL/19.B
List Price: $125.00 $95.00
MAA Member Price: $112.50 $85.50
AMS Member Price: $100.00 $76.00
Fourier Transforms in the Complex Domain
Click above image for expanded view
Fourier Transforms in the Complex Domain
Softcover ISBN:  978-0-8218-1019-4
Product Code:  COLL/19
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
eBook ISBN:  978-1-4704-3167-9
Product Code:  COLL/19.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Softcover ISBN:  978-0-8218-1019-4
eBook ISBN:  978-1-4704-3167-9
Product Code:  COLL/19.B
List Price: $125.00 $95.00
MAA Member Price: $112.50 $85.50
AMS Member Price: $100.00 $76.00
  • Book Details
     
     
    Colloquium Publications
    Volume: 191934; 183 pp
    MSC: Primary 42;

    With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Münz and Szász concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semi-exponential type with real negative zeros, trigonometric interpolation and developments in polynomials of the form \(\sum^N_1A_ne^{i\lambda_nx}\), lacunary series, generalized harmonic analysis in the complex domain, the zeros of random functions, and many others.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter I. Quasi-analytic functions
    • Chapter II. Szász’s theorem
    • Chapter III. Certain integral expansions
    • Chapter IV. A class of singular integral equations
    • Chapter V. Entire functions of the exponential type
    • Chapter VI. The closure of sets of complex exponential functions
    • Chapter VII. Non-harmonic Fourier series and a gap theorem
    • Chapter VIII. Generalized harmonic analysis in the complex domain
    • Chapter IX. Random functions
    • Chapter IX. The harmonic analysis of random functions
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 191934; 183 pp
MSC: Primary 42;

With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Münz and Szász concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semi-exponential type with real negative zeros, trigonometric interpolation and developments in polynomials of the form \(\sum^N_1A_ne^{i\lambda_nx}\), lacunary series, generalized harmonic analysis in the complex domain, the zeros of random functions, and many others.

  • Chapters
  • Introduction
  • Chapter I. Quasi-analytic functions
  • Chapter II. Szász’s theorem
  • Chapter III. Certain integral expansions
  • Chapter IV. A class of singular integral equations
  • Chapter V. Entire functions of the exponential type
  • Chapter VI. The closure of sets of complex exponential functions
  • Chapter VII. Non-harmonic Fourier series and a gap theorem
  • Chapter VIII. Generalized harmonic analysis in the complex domain
  • Chapter IX. Random functions
  • Chapter IX. The harmonic analysis of random functions
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.