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Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two (Repost)

Posted By: AvaxGenius
Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two (Repost)

Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two by Björn Gustafsson, Mihai Putinar
English | PDF | 2017 | 152 Pages | ISBN : 3319658093 | 2.2 MB

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.

Complex Analysis with Applications in Science and Engineering (Repost)

Posted By: AvaxGenius
Complex Analysis with Applications in Science and Engineering (Repost)

Complex Analysis with Applications in Science and Engineering by Harold Cohen
English | PDF | 2007 | 487 Pages | ISBN : 0387730575 | 40.9 MB

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

Posted By: AvaxGenius
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative: Chapman University, November 2019 by Daniel Alpay
English | EPUB | 2021 | 389 Pages | ISBN : 3030764729 | 19.4 MB

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

Posted By: AvaxGenius
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative: Chapman University, November 2019 by Daniel Alpay
English | PDF | 2021 | 389 Pages | ISBN : 3030764729 | 4.3 MB

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.

Modular Forms with Integral and Half-Integral Weights

Posted By: AvaxGenius
Modular Forms with Integral and Half-Integral Weights

Modular Forms with Integral and Half-Integral Weights by Xueli Wang
English | PDF | 2012 | 436 Pages | ISBN : 3642293018 | 2.8 MB

"Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater than or equal to 2.

A Complex Analysis Problem Book (Repost)

Posted By: AvaxGenius
A Complex Analysis Problem Book (Repost)

A Complex Analysis Problem Book by Daniel Alpay
English | PDF | 2011 | 526 Pages | ISBN : 3034800770 | 4.6 MB

This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.

Exercises in Functional Analysis

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Exercises in Functional Analysis

Exercises in Functional Analysis by Constantin Costara
English | PDF | 2003 | 461 Pages | ISBN : 1402015607 | 37.3 MB

The understanding of results and notions for a student in mathematics requires solving ex­ ercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind.

Theory and Application of Graphs

Posted By: AvaxGenius
Theory and Application of Graphs

Theory and Application of Graphs by Junming Xu
English | PDF | 2003 | 343 Pages | ISBN : 1402075405 | 14.8 MB

In the spectrum of mathematics, graph theory which studies a mathe­ matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel­ opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others.