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Dirichlet Series and Holomorphic Functions in High Dimensions

relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille;

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The Dirichlet Space and Related Function Spaces

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and;

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London Mathematical Society Lecture Note Series

theorems of Runge and Mergelyan. The final two chapters deal with wide ranging and surprising applications to the Dirichlet problem, maximum;

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Holomorphic Spaces

students will encounter Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects;

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Linear Holomorphic Partial Differential Equations and Classical Potential Theory

solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and;

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Primer On The Dirichlet Space

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and;

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Weyl Group Multiple Dirichlet Series

Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups;

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Mathematical Sciences Research Institute Publications

students will encounter Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects;

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Diophantine Approximation and Dirichlet Series

of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the;

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Vistas Of Special Functions

-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Extension of Holomorphic Functions

This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a;

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Almost Periodic Functions

Mathematician Harald Bohr, motivated by questions about which functions could be represented by a Dirichlet series, devised the theory;

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Analytic Number Theory

commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a;

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Real and Complex Analysis

This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic;

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Toric Varieties in Several Complex Variables

The present book deals with integral representations for holomorphic functions of several complex variables and holomorphic extensions;

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The Schwarz Lemma

treatment covers basic theory and applications. Starting with an exploration of the subject in terms of holomorphic and subharmonic functions;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Complex Analysis and Geometry

knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were hidden in the case of complex dimension one;

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The Hurwitz and the Lerch Zeta-Functions in the Second Variable

polynomials, Dirichlet L-Series and many other functions. In this book, the author has developed an approach based on Euler's summation fornula-cum;

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New Trends in Approximation Theory

of Taylor and Dirichlet series.;

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Dirichlet

This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 - 1859). Dirichlet made;

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Holomorphic Foliations with Singularities

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering;

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which;

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which;

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Multidimensional Integral Representations

investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving;

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