درون‌یابی و نمونه‌برداری در فضاهای توابع تحلیلی

This book contains the latest developments in a central theme of research on analysis of one complex variable. The material is based on lectures at the University of Michigan. The exposition is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for $H^\infty$, and the sampling theorem, also known as the Whittaker-Kotelnikov-Shannon theorem.The author clarifies how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences. Key words for the geometric descriptions are Carleson measures, Beurling densities, the Nyquist rate, and the Helson-Szego condition. Seip writes in a relaxed and fairly informal style, successfully blending informal explanations with technical details. The result is a very readable account of this complex topic. Prerequisites are a basic knowledge of complex and functional analysis. Beyond that, readers should have some familiarity with the basics of $H^p$ theory and BMO The Book Is About Understanding The Geometry Of Interpolating And Sampling Sequences In Classical Spaces Of Analytic Functions. The Subject Can Be Viewed As Arising From Three Classical Topics: Nevanlinna-pick Interpolation, Carleson's Interpolation Theorem For H[superscript [infinity]], And The Sampling Theorem, Also Known As The Whittaker-kotelnikov-shannon Theorem. The Book Aims At Clarifying How Certain Basic Properties Of The Space At Hand Are Reflected In The Geometry Of Interpolating And Sampling Sequences. Key Words For The Geometric Descriptions Are Carleson Measures, Beurling Densities, The Nyquist Rate, And The Helson-szego Condition. The Book Is Based On Six Lectures Given By The Author At The University Of Michigan. This Is Reflected In The Exposition, Which Is A Blend Of Informal Explanations With Technical Details. The Book Is Essentially Self-contained. There Is An Underlying Assumption That The Reader Has A Basic Knowledge Of Complex And Functional Analysis. Beyond That, The Reader Should Have Some Familiarity With The Basic Of H[superscript P] Theory And Bmo.--book Jacket. Chapter 1. Carleson's Interpolation Theorem Chapter 2. Interpolating Sequences And The Pick Property Chapter 3. Interpolation And Sampling In Bergman Spaces Chapter 4. Interpolation In The Bloch Space Chapter 5. Interpolation, Sampling, And Toeplitz Operators Chapter 6. Interpolation And Sampling In Paley-wiener Spaces Kristian Seip. Includes Bibliographical References (p. 125-133) And Index.

In this rich compilation, Emeka Nwosu takes the reader to a journey of the issues that have helped to shape discourses on various aspects of the Nigerian state and society. The articles, originally published in his weekly column in the premier Nigerian daily newspaper, ThisDay, not only show his perspectives on these issues when they were written but also reveal how discussions on some of those issues have evolved over time and how they have mutated today.

Journalists, especially those who maintain regular columns, are often said to write 'history in a hurry'. For experienced writers like the author whose writings are research-based, it does not mean that what they write about is factually wrong but simply that their writings are infused with the passions and emotions that attended those issues as they unfolded.

This collection is therefore not only informed commentaries on some of the issues that have shaped the contour of the Nigerian state and society over the years but a good trip on the passions and emotions that attended those discourses. The articles, 66 of them, are written with remarkable candour and gusto and therefore a delight to read. They form a very important contribution to the corpus of works on Nigerian politics and society.

"e;MARTIN RATTLER"e; was one of, Robert Michael Ballantyne's early books. Born at Edinburgh in 1825,[1] he was sent to Rupert's Land as a trading-clerk in the Hudson Bay Fur Company's service when he left school, a boy of sixteen. There, to relieve his home-sickness, he first practised his pen in long letters home to his mother. Soon after his return to Scotland in 1848 he published a first book on Hudson's Bay. Then he passed some years in a Scottish publisher's office; and in 1855 a chance suggestion from another publisher led to his writing his first book for boys-"e;Snowflakes and Sunbeams, or The Young Fur Traders."e; That story showed he had found his vocation, and he poured forth its successors to the tune in all of some fourscore volumes. "e;Martin Rattler"e; appeared in 1858. In his "e;Personal Reminiscences"e; Ballantyne wrote: "e;How many thousands of lads have an intense liking for the idea of a sailor's life!"e; and he pointed out there the other side of the romantic picture: the long watches "e;in dirty unromantic weather,"e; and the hard work of holystoning the decks, scraping down the masts and cleaning out the coal-hole. But though his books show something of this reverse side too, there is no doubt they have helped to set many boys dreaming o The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna–Pick interpolation, Carleson's interpolation theorem for $H^\infty$, and the sampling theorem, also known as the Whittaker–Kotelnikov–Shannon theorem. The book aims at clarifying how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences. Key words for the geometric descriptions are Carleson measures, Beurling densities, the Nyquist rate, and the Helson-Szegő condition. The book is based on six lectures given by the author at the University of Michigan. This is reflected in the exposition, which is a blend of informal explanations with technical details. The book is essentially self-contained. There is an underlying assumption that the reader has a basic knowledge of complex and functional analysis. Beyond that, the reader should have some familiarity with the basics of $H^p$ theory and BMO. The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for $H^\infty$, and the sampling theorem, also known as the Whittaker-Kotelnikov-Shannon theorem. The book aims at clarifying how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences. Key words for the geometric descriptions are Carleson measures, Beurling densities, the Nyquist rate, and the Helson-Szego condition. The book is based on six lectures given by the author at the University of Michigan. This is reflected in the exposition, which is a blend of informal explanations with technical details. The book is essentially self-contained. There is an underlying assumption that the reader has a basic knowledge of complex and functional analysis. Beyond that, the reader should have some familiarity with the basics of $H^p$ theory and BMO 0. The purpose of this chapter is to give an up-to-date review of Carleson's interpolation theorem.