Browsing by Subject 515.2433

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  • 01050004444.pdf.jpg
  • Dissertations


  • Authors: Phạm, Thị Thảo;  Advisor: Nguyễn, Minh Tuấn; Phạm, Kỳ Anh (2019)

  • Mục đích nghiên cứu xây dựng và nghiên cứu các chập cho biến đổi Fourier phân thứ, thiết lập bất đẳng thức Young đối với các chập này trong một số không gian hàm cụ thể; ứng dụng các chập xây dựng được vào thiết kế bộ lọc trong miền Fourier phân thứ và bài toán khôi phục tín hiệu cho lớp các tín hiệu có dải tần bị chặn trong miền Fourier thứ nhất

  • 161.pdf.jpg
  • Book


  • Authors: Grafakos, Loukas (2009)

  • The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis...

  • 2759.pdf.jpg
  • Book


  • Authors: - (2008)

  • Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is sel.

  • 3406-'Weighted Littlewood-Paley Theory and Exponential-Square Integrability.pdf.jpg
  • Book


  • Authors: Wilson, Michael (2008)

  • Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn't really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

Browsing by Subject 515.2433

Jump to: 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
or enter first few letters:  
Showing results 1 to 6 of 6
  • 01050004444.pdf.jpg
  • Dissertations


  • Authors: Phạm, Thị Thảo;  Advisor: Nguyễn, Minh Tuấn; Phạm, Kỳ Anh (2019)

  • Mục đích nghiên cứu xây dựng và nghiên cứu các chập cho biến đổi Fourier phân thứ, thiết lập bất đẳng thức Young đối với các chập này trong một số không gian hàm cụ thể; ứng dụng các chập xây dựng được vào thiết kế bộ lọc trong miền Fourier phân thứ và bài toán khôi phục tín hiệu cho lớp các tín hiệu có dải tần bị chặn trong miền Fourier thứ nhất

  • 161.pdf.jpg
  • Book


  • Authors: Grafakos, Loukas (2009)

  • The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis...

  • 2759.pdf.jpg
  • Book


  • Authors: - (2008)

  • Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is sel.

  • 3406-'Weighted Littlewood-Paley Theory and Exponential-Square Integrability.pdf.jpg
  • Book


  • Authors: Wilson, Michael (2008)

  • Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn't really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.