Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Hyponormal Quantization of Planar Domains by Mihai Putinar, Björn Gustafsson, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mihai Putinar, Björn Gustafsson ISBN: 9783319658100
Publisher: Springer International Publishing Publication: September 29, 2017
Imprint: Springer Language: English
Author: Mihai Putinar, Björn Gustafsson
ISBN: 9783319658100
Publisher: Springer International Publishing
Publication: September 29, 2017
Imprint: Springer
Language: English

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established.

The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established.

The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.

More books from Springer International Publishing

Cover of the book Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science by Mihai Putinar, Björn Gustafsson
Cover of the book Contrived Laissez-Faireism by Mihai Putinar, Björn Gustafsson
Cover of the book Contemporary Treatment of Erectile Dysfunction by Mihai Putinar, Björn Gustafsson
Cover of the book Economics of Offshore Wind Power by Mihai Putinar, Björn Gustafsson
Cover of the book Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions by Mihai Putinar, Björn Gustafsson
Cover of the book A Revolution in Economic Theory by Mihai Putinar, Björn Gustafsson
Cover of the book The Progress of Education in India by Mihai Putinar, Björn Gustafsson
Cover of the book Pediatric Psychosocial Oncology: Textbook for Multidisciplinary Care by Mihai Putinar, Björn Gustafsson
Cover of the book The Optics of Giambattista Della Porta (ca. 1535–1615): A Reassessment by Mihai Putinar, Björn Gustafsson
Cover of the book Martin Davis on Computability, Computational Logic, and Mathematical Foundations by Mihai Putinar, Björn Gustafsson
Cover of the book Hybrid Artificial Intelligent Systems by Mihai Putinar, Björn Gustafsson
Cover of the book Metal Matrix Composites by Mihai Putinar, Björn Gustafsson
Cover of the book The Open Brethren: A Christian Sect in the Modern World by Mihai Putinar, Björn Gustafsson
Cover of the book Myelodysplastic Syndromes by Mihai Putinar, Björn Gustafsson
Cover of the book Principles of Spread-Spectrum Communication Systems by Mihai Putinar, Björn Gustafsson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy