In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until this groundbreaking work, conditional probability was relegated to scattered journal articles and

Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.

Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.

This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9–10, 2019, at the University of California, Riverside, California. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications.

With 140 contributions by authors from 19 different countries, XVIII International Symposium of Organizational Sciences – SymOrg 2022 successfully sets the high level for future conferences. The topic of SymOrg 2020, “Sustainable Business Management and Digital Transformation: Challenges and Opportunities in the Post-COVID Era”, attracted researchers from different institutions, both in Serbia and abroad. This year, more than 300 scholars and practitioners authored and co-authored scientific and research articles that had been accepted for publication in the Book of Abstracts. All the contributions to the Book of Abstracts are classified into the following 13 key topics:  Blockchain Technology in Business and Information Systems  Business Analytics  Creativity, Innovation and Sustainable Management  Digital Operations and Logistics Management  Digital Transformation of Financial Industry  Digital Transformation of Public Administration  E-Business Ecosystems  Evidence-Based Public Policy Making in the Post-COVID Environment  LEAN Business Systems – Structures, Processes and Models  Managing Digital Transformation Projects under Discontinuity  Managing Human Resources in the Post-COVID Era  Rethinking Marketing and Communication in the Post-COVID Era  Quality Management and Standardization in Digital Transformation Era. The participation of numerous domestic and international authors and the diversity of topics justify our efforts to organize the Symposium. As SymOrg is traditionally at the intersection of academy and business, we believe that this year’s meeting will bring about many in-depth discussions, contribute to prospective partnerships, and build stronger business and academic networks. We also believe that meeting will contribute to the exchange of knowledge, research results and experience among industry experts, research institutions and faculties, which all share a common interest in contemporary organizational sciences. We are very grateful to our distinguished keynote and plenary speakers: Ana Draskovic, Aleksander Aristovnik, Manuel Mazzara, Basant Agarwa and Priyanka Harjule. Also, special thanks to moderators for organizing the panels and workshops in the fields of higher education, business, supply chain, doctoral research studies and student engagement and sustainability. The Faculty of Organizational Sciences would like to express its gratitude to the Ministry of Education, Science and Technological Development and all the partners and individuals who have supported and contributed to the organization of the Symposium. We are particularly grateful to the contributors and reviewers who made this issue possible. But above all, we are especially thankful to the authors and presenters for making SymOrg 2022 a success! Belgrade, June 6, 2022 Marko Mihić, Ph.D. Sandra Jednak, Ph.D. Gordana Savić, Ph.D.

This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.

Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.