-20%
From Fourier Analysis to Wavelets
Price range: ₹6,078.00 through ₹8,580.00
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform.
-20%
From Fourier Analysis to Wavelets
Price range: ₹6,078.00 through ₹8,580.00
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform.
-20%
Functional Analysis, Spectral Theory, and Applications
Price range: ₹4,994.00 through ₹6,912.00
Presents core material in functional analysis alongside several advanced topics Includes over 400 exercises, with essential exercises marked as such Gives a careful introduction to amenability, property (T), and expander graphs Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem
-20%
Functional Analysis, Spectral Theory, and Applications
Price range: ₹4,994.00 through ₹6,912.00
Presents core material in functional analysis alongside several advanced topics Includes over 400 exercises, with essential exercises marked as such Gives a careful introduction to amenability, property (T), and expander graphs Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem
-20%
Functions of Bounded Variation and Their Fourier Transforms
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform.
This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.
-20%
Functions of Bounded Variation and Their Fourier Transforms
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform.
This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.
-20%
Gaussian Harmonic Analysis
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory| also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books| also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.
-20%
Gaussian Harmonic Analysis
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory| also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books| also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.
-20%
Gelfand Triples and Their Hecke Algebras: Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
This is the first book on an essentially new subject. It will serve as a reference for future developments. The treatment is self-contained and therefore accessible to a wide audience. All arguments are presented in full generality. Includes two new highly nontrivial and significant examples which are analyzed in full detail.
-20%
Gelfand Triples and Their Hecke Algebras: Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
This is the first book on an essentially new subject. It will serve as a reference for future developments. The treatment is self-contained and therefore accessible to a wide audience. All arguments are presented in full generality. Includes two new highly nontrivial and significant examples which are analyzed in full detail.
-21%
Generalized Multiresolution Analyses
Original price was: ₹4,679.00.₹3,743.00Current price is: ₹3,743.00.
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the authorÂ’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting.
-21%
Generalized Multiresolution Analyses
Original price was: ₹4,679.00.₹3,743.00Current price is: ₹3,743.00.
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the authorÂ’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting.
-20%
Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces
Original price was: ₹18,022.00.₹14,418.00Current price is: ₹14,418.00.
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.
-20%
Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces
Original price was: ₹18,022.00.₹14,418.00Current price is: ₹14,418.00.
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.
-20%
Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods
Original price was: ₹16,979.00.₹13,584.00Current price is: ₹13,584.00.
Shows how modern mathematics acts as a key technology in today’s geodesy Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy
-20%
Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods
Original price was: ₹16,979.00.₹13,584.00Current price is: ₹13,584.00.
Shows how modern mathematics acts as a key technology in today’s geodesy Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy
-20%
Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions.
This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
-20%
Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions.
This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.