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 Photovoltaics for Sustainable Electricity and Buildings by Mihai Putinar, Björn Gustafsson
Cover of the book Recombinant Enzymes - From Basic Science to Commercialization by Mihai Putinar, Björn Gustafsson
Cover of the book Computer Vision – ECCV 2016 by Mihai Putinar, Björn Gustafsson
Cover of the book Geomechanics, Fluid Dynamics and Well Testing, Applied to Naturally Fractured Carbonate Reservoirs by Mihai Putinar, Björn Gustafsson
Cover of the book Biometric Recognition by Mihai Putinar, Björn Gustafsson
Cover of the book Wie das Leben spricht: Narrativität als radikale Lebensphänomenologie by Mihai Putinar, Björn Gustafsson
Cover of the book Fundamentals of Sketch-Based Passwords by Mihai Putinar, Björn Gustafsson
Cover of the book Impact of Cesium on Plants and the Environment by Mihai Putinar, Björn Gustafsson
Cover of the book Nonlinear Vibrations and the Wave Equation by Mihai Putinar, Björn Gustafsson
Cover of the book Empowering Users through Design by Mihai Putinar, Björn Gustafsson
Cover of the book Brain-Computer Interface Research by Mihai Putinar, Björn Gustafsson
Cover of the book Posterior Fossa Tumors in Children by Mihai Putinar, Björn Gustafsson
Cover of the book Validating Neuro-Computational Models of Neurological and Psychiatric Disorders by Mihai Putinar, Björn Gustafsson
Cover of the book Fundamentals of Ultrasonic Phased Arrays by Mihai Putinar, Björn Gustafsson
Cover of the book The British Football Film 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