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rss_1.0 Recursos de colección

ETD at Indian Institute of Science (2.176 recursos)
Repository of Theses and Dissertations of Indian Institute of Science, Bangalore, India. The repository has been developed to capture, disseminate and preserve research theses of Indian Institute of Science.

Mathematics (math)

Mostrando recursos 1 - 20 de 33

1. Segal-Bargmann Transform And Paley Wiener Theorems On Motion Groups - Sen, Suparna

2. A Study Of The Metric Induced By The Robin Function - Borah, Diganta
Let D be a smoothly bounded domain in Cn , n> 1. For each point p _ D, we have the Green function G(z, p) associated to the standard sum-of-squares Laplacian Δ with pole at p and the Robin constant __ Λ(p) = lim G(z, p) −|z − p−2n+2 z→p | at p. The function p _→ Λ(p) is called the Robin function for D. Levenberg and Yamaguchi had proved that if D is a C∞-smoothly bounded pseudoconvex domain, then the function log(−Λ) is a real analytic, strictly plurisubharmonic exhaustion function for D and thus induces a metric ds2 =...

3. Some Mixed Boundary Value Problems Arising In Viscous Flow Theory - Manna, Durga Pada

4. Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction. - Pal, Sourav
A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant S of P, we seek a solution of the operator equation S –S*P = (I –P*P)½ X(I –P*P)½ where X is a bounded operator on Ran(I – P*P)½ with numerical radius of X being not greater than 1. We show the existence and uniqueness of solution to the operator equation above when (S,P) is a...

5. An Algorithmic Approach To Crystallographic Coxeter Groups - Malik, Amita
Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. It turns out that the finite Coxeter groups are precisely the finite Euclidean reflection groups. Coxeter studied these groups and classified all finite ones in 1935, however they were known as reflection groups until J. Tits coined the term Coxeter groups for them in the sixties. Finite crystallographic Coxeter groups, also known as finite Weyl groups, play a prominent role in many branches of mathematics like combinatorics, Lie theory, number theory, and geometry. The computational aspects of these groups are...

6. Kinematical Conservation Laws And Propagation Of Nonlinear Waves In Three Dimensions - Arun, K R

7. Irreducible Representations Of The Symmetric Group And The General Linear Group - Verma, Abhinav
Representation theory is the study of abstract algebraic structures by representing their elements as linear transformations or matrices. It provides a bridge between the abstract symbolic mathematics and its explicit applications in nearly every branch of mathematics. Combinatorial representation theory aims to use combinatorial objects to model representations, thus answering questions in this field combinatorially. Combinatorial objects are used to help describe, count and generate representations. This has led to a rich symbiotic relationship where combinatorics has helped answer algebraic questions and algebraic techniques have helped answer combinatorial questions. In this thesis we discuss the representation theory of the symmetric...

8. Numerical Simulation Of Converging Nonlinear Wavefronts - Sangeeta, K

9. Uncertainty Handling In Knowledge-Based Systems Via Evidence Representation - Srinivas, Nowduri

10. Proof Of A Conjecture Of Frankl And Furedi And Some Related Theorems - Ramanan, Gurumurthi V

11. Software Quality Testing And Remedies - Chakraborty, Ashis Kumar

12. Optimal Control Of A Stochastic Hybrid System - Sahay, Pankaj

13. Stochastic Differential Games In A Bounded Domain - Suresh Kumar, K

14. A Study On Solutions Of Singular Integral Equations - George, A J

15. Peristaltic Transport Of Biofluids - Usha, S

16. Fourier Analysis And Allied Methods In Problems Of Scattering And Radiation Of Water Waves - Sahoo, Trilochan

17. Image Based Attitude And Position Estimation Using Moment Functions - Mukundan, R

18. On The Analytic Theory Of Explosions - Yogi, A M Nageswara

19. Applications Of Lie Algebraic Techniques To Hamiltonian Systems - Sachidanand, Minita Susan

20. Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn - Gupta, Purvi
It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate this theme by offering some well-known extension results on domains in Cn having many symmetries. One important result, in this regard, is Hartogs’ theorem on the extension of functions holomorphic in a certain neighbourhood of (D x {0} U (∂D x D), D being the open unit disc in C. To understand the nature of analytic continuation in greater detail, in Chapter...

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